Math 6 Module-1 Week-1 Monday, April 20

1.) This Module will involve calculating the Area and Perimeter of Rectangles. Please review the attached information sheet to familiarize yourself with important ideas, facts about rectangles and vocabulary that we will use in this unit.

Tuesday, April 21

1.) View the attached Presentation to learn / review the steps needed to calculate area and perimeter of various rectangles. The problems included in the presentation will not be graded but please try them as they will be very similar to problems that will be graded for this module.

Wednesday April 22

1.) Complete the assigned problems and submit completed work to be graded. Remember that area is always reported in square units and perimeter is reported in units of length.

Thursday, April 23

1.) Complete the assigned practical word problems and submit completed work to be graded.

Friday, April 24

1.) Review the previous materials for this week then complete attached Quiz to be graded for this Module.

Math 6 Module-1 Week-2 Monday, April 27

1.) This Module will involve calculating the Area and Perimeter of Triangles. Please review the attached information sheet to familiarize yourself with important ideas, facts about triangles and vocabulary that we will use in this unit.

Tuesday, April 28

1.) View the attached Presentation to learn / review the steps needed to calculate area and perimeter of various rectangles. The problems included in the presentation will not be graded but please try them as they will be very similar to problems that will be graded for this module.

Wednesday April 29

1.) Complete the assigned problems and submit completed work to be graded. Remember that area is always reported in square units and perimeter is reported in units of length.

Thursday, April 30

1.) Complete the assigned practical word problems and submit completed work to be graded.

Friday, May 1

1.) Review materials presented this week then complete the attached Quiz to be graded for this Module.

Grade 6 Mathematics Formula Sheet2016 Mathematics Standards of Learning

Geometric Formulas

b

h

A bh= 12

s

s

p sA s== 2

4

l

w

p l wA lw= +=

2 2

rd

2

2C rC dA r

πππ

===

Pi

≈

≈

3.14227

π

π

Abbreviations

milligram mggram gkilogram kgmilliliter mLliter Lkiloliter kLmillimeter mmcentimeter cmmeter mkilometer kmsquare centimeter cm2

ounce ozpound lbquart qtgallon gal.inch in.foot ftyard ydmile mi.square inch sq in.square foot sq ft

Area A

Perimeter pCircumference C

Copyright ©2018 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of this mathematics formula sheet for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by email to Student_Assessment@doe.virginia.gov.

Module 1 Day 1 4-20-20

SOL 6.7c: We will solve problems, including practical problems involving area and perimeter of rectangles.

Vocabulary:

Rectangle- Four-sided figure with opposite sides parallel and congruent. It also has four 90-degree angles.

Square- Four-sided figure with opposite sides parallel and all sides congruent. It also has four 90-degree angles.

Area- The measure of the inside of a closed figure expressed in square units.

Perimeter- The distance around the outside of a shape measured in units of length.

Formula- A rule written with mathematical symbols used to solve a problem.

Side (S)- The measure of one line segment of a square.

Length (l)- The measure of the longer side of a rectangle.

Width(w)- The measure of the shorter side of a rectangle.

Area – Always expressed in square units.

I = 7cm w = 3cm s = 6 inches

6²

Perimeter - Add up all of the sides. Measured in units of length.

You may also use the formula.

Rectangle: P = 2l + 2w l = 14yd. w = 7 yd. Square: P= 4s s = 6 ft

P = 2 × 14 + 2 × 7 P = 4 × 6

P = 28 + 14 P = 24 feet

P = 42 yards

Key words to help when solving word problems.

Area – cover, total space, floor tiles, carpet, square units, inside.

Perimeter – fence, trim/molding, border, around, outside.

Math 6 Module #1 Week 1

Area and Perimeter of Rectangles

SOL 6.7c) solve problems, including practical problems, involving area and perimeter of triangles and rectangles.

After completing this presentation you should be able to calculate the area (A) and Perimeter (p) of various rectangles and understand when to use each measure when applied to practical (word) problems.

First let’s review some facts about rectangles: - Rectangles are 4-sided polygons with 4 right

or 90 degree angles. - Also it is important to remember that opposite

sides of a rectangle are congruent or equal in length.

- Squares are special rectangles where all 4 sides are congruent or equal in length.

Perimeter (p) is the distance around the outside of a shape or figure. We would need to know the perimeter if we were building a frame for a picture or fence around a garden. The thick black line represents the perimeter of the rectangle shown.

Perimeter (p) is the sum of all of the sides of a rectangle. We know that if the left side is 7 inches long then the right or opposite side must also be 7 inches long. Likewise if the bottom side is 10 inches long then the top side must also be 10 inches long.Therefore the perimeter (P) = 7 + 7 + 10 + 10 or P = 34 in.

10 in.

7in. 7 in.

10 in.

Perimeter is always measured in units of length, such as inches, feet, yards, centimeters, meters etc.

Since all 4 sides of a square are equal or congruent, we can add side + side + side + side. But it might be easier to multiply the side length (s) by 4.So the formula is p = 4S*You can use either method (multiplication or addition) to find the perimeter*

The VDOE formula sheet lists this formula for perimeter (p) of a square.

So for the above square, the perimeter p = 4(5) or p = 20 cm.If you prefer adding then, p = 5 + 5 + 5 + 5 or p = 20 cm.

Be sure to always include units in your answer!

5cm.

5cm.

The VDOE formula sheet lists this formula for perimeter (p) of a rectangle.

Since all sides of a rectangle are not necessarily congruent as they are for squares we label the different sides as length(l) and width (w). Traditionally the longer side is referred to as the length and the shorter sides as the width but it doesn’t really matter as long as we have 2 congruent sides labeled (l) and 2 congruent sides labeled (w). The VDOE formula recognizes that there are 2 congruent sides labeled (l) top and bottom. And 2 congruent sides labeled (w) left and right sides. SO we can again use multiplication to calculate the perimeter. P = 2(l) + 2(w). If you prefer to add we can add p =l+l+w+w.

Using the VDOE formula, p = 2(8) + 2(3) we know we have to follow order of operations here so we first find both products then add them together.

2(8) + 2(3) becomes 16 + 6 which is 22 so p = 22 ft.

If you prefer addition then p = 8 + 8 + 3 + 3 or, p = 22 ft.

3 ft.

8 ft.

Perimeter Practice: (try these on your own using pencil and paper)- Find the perimeter of each square or rectangle:

(1) (2)

(3) (4)

4 in.

4 in.

7 cm.

7 cm.

3 yd.

5 yd.

3 yd.

10 yd.

Perimeter Practice Answers:

(1) p = 4(4) = 16 in. (2) p = 4(7) = 28 cm. or orp = 4+4+4+4 = 16 in. p = 7+7+7+7 = 28 cm.

(3) p = 2(5) + 2(3) (4) p = 2(10) + 2(3) p = 10 + 6 p = 20 + 6 p = 16 yd p = 26 yd.

or orp = 5+5+3+3 = 16 yd. p = 10+10+3+3 = 26 yd.

Area (A) of a rectangle is the number of square units it takes to fill or cover the rectangle. We would need to know the area of a rectangle if we were going to paint a wall or put carpet down on the floor. The area is represented by the grey area covering the rectangle.

Area (a)

We can think of the area of a rectangle as an array of rows and columns. We learned about arrays in 3rd grade when we began multiplying numbers. This rectangle is 3 units wide and 5 units long as shown in the array below.

3 units

5 units

We could count each square unit but that could take a while and we could make an error. A much more efficient way to determine how many square units are within the rectangle is to multiply the number of rows by the number of columns. 3 x 5 = 15 square units.

We can think about the above rectangle with a length (l) of 6 units and a width (w) of 2 units as having 2 rows and 6 columns. When we multiply the length (l) by the width (w) we get 12 square units as shown below.

2

6

2

6

2

6

2

6

The VDOE formula for finding the area (A) of a rectangle is A = lw.

In other words we simply multiply the length (l) by the width (w).

A = lw

Once again it doesn’t matter which side you choose to be the length and which side you choose to be the width because the Commutative Property of multiplication tells us that the order of the factors doesn’t change the product.Ex: 2x3 = 3x2.

Area (A) is ALWAYS reported in square units.

OK let’s do a few together:

2 ft.

5 ft.

3 cm.

8 cm.

A = lwA = 5(2)A = 10 sq. ft. or 10 ft.2

A = lwA = 8(3)A = 24 sq. cm. or 24 cm.2

Area Practice: (try these on your own using pencil and paper)- Find the area of each square or rectangle:

(1) (2)

(3) (4)

4 in.

4 in.

7 cm.

7 cm.

3 yd.

5 yd.

3 yd.

10 yd.

Area Practice Answers:(1) (2)

A = lwA = 4(4)A = 16 sq. in. or 16 in.2

(3) (4)

A = lwA = 7(7)A = 49 sq. cm. or 49 cm.2

A = lwA = 10(3)A = 30 sq. yd. or 30 yd.2

A = lwA = 5(3)A = 15 sq. yd. or 15 yd.2

The last thing to know for this module is that we may encounter Area or Perimeter problems in the form of word problems where we need to determine if area or perimeter will answer the problem and then apply the correct formula to get a solution. To help with this it is important to remember that:Area is how many square units it takes to cover a surface of a shape. _______________________And__________________________

Perimeter is the distance around the outside of a shape.

Lets try a few:Lisa is getting a new puppy and she wants to build a play area for him in her backyard. How much fencing will she need to build a fence around the area, if the play area is a rectangle, that is 8 feet wide and 12 feet long?

Thoughts: a fence goes around the outside so we need to find the perimeter. Two of the sides will be 8ft. and the other two will be 12 ft.

So p=2(l) + 2(w) or 2(12) + 2(8) 24 + 16 = 40 ft. Or we can add, 12+12+8+8 = 40ft.

She will need 40 feet of fence to go around the play area.

And another: James wants to build a wooden frame for his new family picture. The picture is 11 inches wide and 14 inches tall. How long will the piece of wood need to be for him to build the frame?

Thoughts: A frame goes around the outside of the picture so we need to find the perimeter.

So p=2(l) + 2(w) or 2(14) + 2(11) 28 + 22 = 50 in. Or we can add, 14+14+11+11 = 50in.

James will need a board 50 inches long to build the frame.

One more:Pamela wants to redo the floor in her hallway with tile. How much tile will she need to finish her hallway if the hallway is 3 feet wide and 12 feet long?

Thoughts: We need to cover the whole floor with tile so we need to find the area (how many square units fit in the hallway).

So area (A)= lw So we multiply the length(l) 12 by the width(w)3A = 12(3) A = 36 sq. ft. or 36 ft.2

Last One:Mike wants to stain his deck before summer. His deck is 24 feet long and 10 feet wide. A can of stain will cover 225 square feet of area. Will one can of stain be enough for him to stain his deck?

Thoughts he wants to stain or cover the entire deck so we need to find area. So A= lw A= 24(10) A= 240 sq. ft.240 > 225

One can of stain will not be enough to stain Mike’s deck because he needs to cover 240 square feet and one can only covers 225 square feet.

TheEnd!

April 22 Name: ___________________________

Area and Perimeter of Rectangles

Find the area and perimeter for each rectangle below.

April 23 Name: ___________________________

Multiple Choice. Select the best answer for each question.

1) Neela is making rectangular placemats that are 12 inches wide and 15 inches long. What is the least amount of ribbon that she will need to create a ribbon border around a placemat?

a. 54 inches b. 56 inches c. 180 inches d. 182 inches

2) Bob is replacing the flooring in his kitchen. If the kitchen is 20 feet long and

10 feet wide, how many square feet of flooring does Bob need to buy? a. 60𝑓𝑓𝑡𝑡2 b. 100𝑓𝑓𝑡𝑡2 c. 140𝑓𝑓𝑡𝑡2 d. 200𝑓𝑓𝑡𝑡2

3) Kathy wants to replace the frame on her kitchen window. If the window is

22 inches wide and 24 inches long, how many total inches of molding are needed to frame the kitchen window?

a. 528𝑖𝑖𝑛𝑛2 b. 92𝑖𝑖𝑛𝑛2 c. 480𝑖𝑖𝑛𝑛2 d. 96𝑖𝑖𝑛𝑛2

4) Kaleb wants to place a flower garden in front of his house to increase curb

appeal. What could be the dimensions of the garden if he has a space of 12 square feet to work with?

a. 3 feet long and 3 feet wide b. 12 feet long and 2 feet wide c. 4 feet long and 3 feet wide d. 6 feet long and 3 feet wide

Area and Perimeter of Rectangles: Practical Problems

April 23 Name: ___________________________

5) Jacob is replacing his laminate countertops with granite. He purchased a rectangular slab of granite that has an area of 18 square feet. If the slab is 6 feet long, how wide is it? a. 2 feet b. 3 feet c. 4 feet d. 5 feet 6) Noah needs to buy fertilizer to spread on his garden. The garden is a 16 feet by 12 feet rectangle. How many square meters is the garden? a. 192𝑓𝑓𝑡𝑡2 b. 56𝑓𝑓𝑡𝑡2 c. 168𝑓𝑓𝑡𝑡2 d. 112𝑓𝑓𝑡𝑡2

7) Mrs. Wood put a border around the bulletin board in her classroom. If the bulletin board is 62 inches wide and 50 inched long, how many inches did she need for her border?

a. 220 inches b. 3,100 inches c. 3,000 inches d. 224 inches

8) Emily has bought some fabric to make a dress. She cut a piece that was 2 meters wide and had an area of 16𝑚𝑚2. How long was the piece? a. 6 meters b. 7 meters c. 8 meters d. 9 meters

Area and Perimeter of Rectangles: Practical Problems

April 24 Name: ___________________________

Multiple Choice. Select the best answer for each question.

1) What is the area of the rectangle? a. 10𝑦𝑦𝑑𝑑2 b. 7𝑦𝑦𝑑𝑑2 c. 15𝑦𝑦𝑑𝑑2 d. 14𝑦𝑦𝑑𝑑2

2) What is the perimeter of the rectangle? a. 46𝑐𝑐𝑐𝑐 b. 50𝑐𝑐𝑐𝑐 c. 52𝑐𝑐𝑐𝑐 d. 144𝑐𝑐𝑐𝑐

3) What is the perimeter of the rectangle? a. 28𝑓𝑓𝑓𝑓 b. 34𝑓𝑓𝑓𝑓 c. 38𝑓𝑓𝑓𝑓 d. 48𝑓𝑓𝑓𝑓

4) What is the area of the rectangle? a. 72𝑐𝑐𝑐𝑐2 b. 34𝑐𝑐𝑐𝑐2 c. 56𝑐𝑐𝑐𝑐2 d. 64𝑐𝑐𝑐𝑐2

Module 1-Week 1 Quiz

April 24 Name: ___________________________

5) Theresa wants new carpeting for her family room. Her family room is a 12 feet by 21 feet rectangle. How much carpeting does she need to buy to cover her entire family room? a. 66𝑓𝑓𝑓𝑓2 b. 138𝑓𝑓𝑓𝑓2 c. 240𝑓𝑓𝑓𝑓2 d. 252𝑓𝑓𝑓𝑓2 6) Mrs. Moore is decorating the bulletin board in the school’s lobby. The bulletin board is a 7 ft by 11 ft rectangle. She decides to add a red border around the entire bulletin board. What is the length of the border that she needs? a. 24 feet b. 36 feet c. 29 feet d. 77 feet 7) Charles has a rectangular flower garden that is 5 yards long and 12 yards wide. One bag of fertilizer can cover 6𝑦𝑦𝑑𝑑2. How many bags will he need to buy to cover the entire garden?

a. 9 bags b. 10 bags c. 11 bags d. 12 bags

8) Before soccer practice, Laura warms up by jogging around the soccer field that is 80 yards wide and 120 yards long. How many yards does she jog if she goes around the field one time?

a. 320 yards b. 400 yards c. 920 yards d. 9,600 yards

Module 1-Week 1 Quiz

Module 1 Day 6 4-27-20

SOL 6.7c: We will solve problems, including practical problems involving area and perimeter of triangles.

Vocabulary:

Triangle- A three-sided polygon.

Area- The measure of the inside of a closed figure expressed in square units.

Perimeter- The distance around the outside of a shape measured in units of length.

Formula- A rule written with mathematical symbols used to solve a problem.

Side (S)-The measure of one line segment of a triangle.

Base (b)- The side of a triangle to which the height is drawn at a right angle.

Height (h) The measure of how tall a triangle is. The height always comes off the base as a 90 degree angle.

Geometric Formulas

Area – Always expressed in square units.

A = 𝟏𝟏𝟐𝟐bh b = 12 in. h = 8 in. A = 𝟏𝟏

𝟐𝟐bh b = 24in. h = 7in.

A = 𝟏𝟏𝟐𝟐 × 12 × 8 or 0.5 × 12 × 8 A = 𝟏𝟏

𝟐𝟐 × 24 × 7 or 0.5 × 24 × 7

A = 48 in² A = 84 in²

Perimeter - Add up all of the sides (S). Measured in units of length.

P = S₁ + S₂ + S₃ S₁ = 10 in. S₂ = 10 in. S₃ = 12 in. P = S₁ + S₂ + S₃ S₁ = 7 in. S₂ = 25 in. S₃ = 24 in

P = 10 + 10 + 12 P = 7 + 25 + 24

P = 32 in. P = 56 in.

Key words to help when solving word problems.

Area – cover, total space, floor tiles, carpet, square units, inside.

Perimeter – fence, trim/molding, border, around, outside.

Module #1 Week 2Area and Perimeter of Triangles

SOL 6.7c) solve problems, including practical problems, involving area and perimeter of triangles and rectangles.

After completing this presentation you should be able to calculate the area (A) and Perimeter (p) of various triangles and understand when to use each measure when applied to practical (word) problems.

First let’s review some facts about triangles: - Triangles are 3 sided polygons- There are several classifications of triangles

but the formula used to calculate the area and perimeter of each type is the same.

Perimeter (p) is the distance around the outside of a shape or figure. We would need to know the perimeter if we were traveling in a straight line between 3 points or to put a border around a triangular shaped flower bed. The thick black line represents the perimeter of the triangle shown.

Perimeter (p) is the sum of all of the sides of a triangle. To find the perimeter of a given triangle we simply add the lengths of the three sides.

Therefore the perimeter (p) = 7 + 7 + 10 or p = 24 in.

7 in.

7 in.

10 in.Perimeter is always measured in units of length, such as inches, feet, yards, centimeters, meters etc.

Perimeter Practice: (try these on your own using pencil and paper)- Find the perimeter of each triangle:

(1) (2)

(3) (4)

10 cm

8 cm

8 cm

11 ft

7 ft

6 ft4 in

7 in7 in

5 yd

4 yd4 yd

Perimeter Practice Answers:

(1) p = 8+8+8 (2)p = 4+4+5 p = 24 cm p = 13 yd

(3) p = 6+7+11 (4) p = 7+7+4 p = 24 ft p = 18 in

Area (A) of a triangle is the number of square units it takes to fill or cover the triangle. We would need to know the area of a triangle if we were going to replace a broken pane of triangular glass, or cover a triangular yard in grass seed. The area is represented by the grey area covering the triangle.

Area

Interesting Note: We can think of a triangle as being ½ of a rectangle.

And since we already know how to find the Area (A) of a rectangle we can use those skills along with our note/observation above to help understand how to find the area of a triangle.

The VDOE formula for finding the area (A) of a triangle is: A = ½ bh.

But how does this relate to finding the area of a rectangle?

They simply renamed length and width as base(b) and height (h). And since a triangle is only ½ of a rectangle we then have to then multiply by ½.

Area (A) is ALWAYS reported in square units.

OK let’s do some together:In this example our base is 10 km and our height is 4 km. When we plug these values into the formula A = ½ bh we get :

A = ½(10)(4)A = (5)(4)A = 20 km2

*Hint: when using a calculator to multiply a number by ½ enter .5 instead. So on your calculator ½(10) would be .5(10)

Lets try another: In this example our base is 32 km and our height is 20 km. When we plug these values into the formula A = ½ bh we get :

A = ½(32)(20)A = (16)(20)A = 320 km2

One more together:In this example our base is 49 ft and our height is 46 ft. When we plug these values into the formula A = ½ bh we get :

A = ½(49)(46)A = (24.5)(46)A = 1127 ft2

Area Practice: (try these on your own using pencil and paper)- Find the area of each triangle:

(1) (2)

(3) (4)

Area Practice Answers:(1) A = ½ bh (2) A = ½ bh

A = ½(10)(8) A = ½(7)(10)A = (5)(8) A = (3.5)(10)A = 40 sq. in. or 40 in.2 A = 35 sq. yd. or 35 yd.2

(3) A = ½ bh (4) A = ½ bhA = ½(9)(4) A = ½(6)(5)A = (4.5)(4) A = (3)(5)A = 18 sq. ft. or 18 ft.2 A = 15 sq. ft. or 15 ft.2

The last thing to know for this module is that we may encounter Area or Perimeter problems in the form of word problems where we need to determine if area or perimeter will answer the problem and then apply the correct formula to get a solution. To help with this it is important to remember that:Area is how many square units it takes to cover a surface of a shape. _______________________And__________________________

Perimeter is the distance around the outside of a shape.

Let’s begin:

Sara is building a triangular corner shelf for her room. If the triangle shelf has a base of 24 inches and a height of 12 inches, How much wood will she need to build the shelf?

Thoughts: We need to build the whole shelf not just the outside so we need to find the area.

A= 1/2bh so: A = ½(24)(12)

A = 12(12)

A = 144 sq. In. or 144 in.2

Don’t forget, when using a calculator to multiply a number by ½ enter .5 instead. So on your calculator ½ (24) would be .5(24)

Sara will need 144 in.2 of wood to build her shelf.

And one more:

Jason walks 2 miles from his house to school. Then he walks 3 miles from school to the park. Finally he walks 5 miles back home. How far did Jason walk in all?

Home School

Park

2

5

3

Thoughts: we only need the distance on the outside of the triangle to calculate how far he walked so we need to find the perimeter

p = 2+3+5p = 10 miles

Jason walked 10 miles in all.

TheEnd!

April 29 Name: ___________________________

Find the perimeter of the triangles below.

1) 2)

Perimeter: _______________ Perimeter: ________________

3) 4)

Perimeter: _______________ Perimeter: ________________

Area of Triangles

Perimeter of Triangles

Find the area of the triangles below. To find the area of a triangle, multiply ½ x base x height. A = ½ (b x h)

1) 2)

Area: _________________________ Area: __________________________

3) 4)

Area: _________________________ Area: __________________________

April 30 Name: ___________________________

Multiple Choice. Select the best answer for each question.

1) Tom is building a triangular table for his sunroom. If the triangular table

has a base of 60 inches and a height of 36 inches. How much wood will

he need to build the table?

a. 4,320𝑖𝑛2

b. 1,800𝑖𝑛2

c. 2,160𝑖𝑛2

d. 1,080𝑖𝑛2

2) Lisa is making a triangular face mask to wear to Walmart. If the area of

her fabric is 30 𝑖𝑛2 and the height is 6 inches, what is the base of her

mask?

a. 9 inches

b. 10 inches

c. 11 inches

d. 12 inches

3) Daniel wants to create a new vegetable garden in his backyard. His new

triangular garden has a height of 5 feet, a base of 4 feet, a side of 7 feet,

and a side of 7 feet. How many square feet of mulch does he need to fill

the inside of the garden?

a. 8𝑓𝑡2

b. 10𝑓𝑡2

c. 12𝑓𝑡2

d. 14𝑓𝑡2

4) Daniel also wants to put a brick border around the vegetable garden

described in problem 3. How many feet of brick does Daniel need to

make his triangular border?

a. 18 feet

b. 20 feet

c. 22 feet

d. 24 feet

Area and Perimeter of Triangles: Practical Problems

April 30 Name: ___________________________

5) Madison walks 3 miles from her house to the gas station. Then she

walks 5 miles from the gas station to the park. Finally, she walks 4 miles

from the park back to her house. How far did Madison walk in all?

a. 10 feet

b. 11 feet

c. 12 feet

d. 13 feet

6) The teachers at Jefferson Elementary School handed out triangle

shaped pennants on the first day of school. If each pennant has a base of

5 inches and a height of 12 inches, what is the area of each pennant?

a. 30𝑖𝑛2

b. 60𝑖𝑛2

c. 90𝑖𝑛2

d. 120𝑖𝑛2

7) A triangle has a base of 8 feet and a height of 6 feet. Beatrix says the

area of the triangle is 48 square feet. Samuel says the area is 24 square

feet. Who is correct?

a. Beatrix

b. Samuel

8) Emily has bought some fabric to make a dress. She cut a triangular

piece that has a base of 2 meters and a height of 3 meters. What is the

area of the triangular fabric piece that Emily cut out?

a. 1𝑚2

b. 3𝑚2

c. 6𝑚2

d. 9𝑚2

Area and Perimeter of Triangles: Practical Problems

May 1 Name: ___________________________

Multiple Choice. Select the best answer for each question.

1) What is the area of the triangle?

a. 280𝑓𝑡2

b. 170𝑓𝑡2

c. 150𝑓𝑡2

d. 140𝑓𝑡2

2) What is the perimeter of the triangle?

a. 65𝑓𝑡

b. 73𝑓𝑡

c. 62𝑓𝑡

d. 85𝑓𝑡

3) What is the perimeter of the triangle?

a. 26𝑓𝑡

b. 20𝑓𝑡

c. 32𝑓𝑡

d. 24𝑓𝑡

4) What is the area of the triangle?

a. 14𝑓𝑡2

b. 28𝑓𝑡2

c. 10𝑓𝑡2

d. 20𝑓𝑡2

Module 1-Week 2 Quiz

May 1 Name: ___________________________

5) Jonathan walks 2 miles from his house to school. Then he walks 4

miles from the school to the park. Finally, he walks 3 miles from the park

back to his house. How far did Jonathan walk in all?

a. 7 feet

b. 8 feet

c. 9 feet

d. 10 feet

6) At football games, the local high school sells large pennants. If each

pennant has a base of 1 foot and a height of 2 feet. What is the area of

each pennant in square inches?

a. 0.5𝑖𝑛2

b. 1𝑖𝑛2

c. 1.5𝑖𝑛2

d. 2𝑖𝑛2

7) Derrick is laying mulch in his triangular garden. If the base is 6 feet and

the height is 8 feet, how many square feet of mulch does Derrick need to

fill the garden?

a. 24𝑓𝑡2

b. 28 𝑓𝑡2

c. 32 𝑓𝑡2

d. 36 𝑓𝑡2

8) Derrick now wants to put fencing along the outside edges of his

triangular garden. If the base is 6 feet, a side is 10 feet, and the other

side is 10 feet, then how many feet of fencing does he need?

a. 20 feet

b. 22 feet

c. 24 feet

d. 26 feet

Module 1-Week 2 Quiz