1 composite figures pieces of the whole. 2 ned is painting his basement floor. the dimensions are:...

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1 Composite Figures Pieces of the Whole

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Page 1: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

1

Composite Figures

Pieces of the Whole

Page 2: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

2

Ned is painting his basement floor.

The dimensions are:

3.2 m

1.8 m

2.3 m

2.5 mIf one can of paint will cover 3.5 m2, and each can of paint costs $15.25, what is his total cost including 13% GST and PST?

Page 3: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

3

a) Determine the total area.

A = 2.3 x 2.5 + 3.2 x 1.8

A = 5.75 + 5.76

A = 11.51m2

Atotal = A1 + A2

3.2 m

1.8 m

2.3 m

2.5 m

A2

A1

Page 4: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

4

b) If one can of paint covers 3.5 m2, how many cans of paint will he need?

He will need four cans of paint.

3.2 m

1.8 m

2.3 m

2.5 m10.4 m2

canm

mcans

/5.3

51.11#

2

2

# of cans = 3.29

Page 5: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

5

c) If one can of paint costs $15.25, what is his total cost including 13% GST and PST?

Paint cost: 4 x $15.25 = $61.00

Taxes: = 0.13 x $61.00= $ 7.93

Total cost: $68.93

3.2 m

1.8 m

2.3 m

2.5 m10.4 m2

Page 6: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

6

Shavonte wants to make curtains to cover her decorative window.

If 1 m2 of curtain material cost $2.20, how much will it cost to make the curtains including 13% GST and PST? 2 m

2 m

Page 7: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

7

The radius for material is 1.10 metres.

a) Determine area of semi-circle.

A = πr2 ÷ 2

A = π(1)2 ÷ 2

A ≈ 3.14 ÷ 2

A ≈ 1.57 m2

2 m

2 m

2 m

Page 8: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

8

The length of the sides of material is 2.20 metres.

lwA

)2)(2(A 2m4A

b) Determine area of the square.

Total Area = Semi Circle + Square = 1.57 + 4

= 5.57 m2 or 6 m2

2 m

2 m

2 m

Page 9: 1 Composite Figures Pieces of the Whole. 2 Ned is painting his basement floor. The dimensions are: 3.2 m 1.8 m 2.3 m 2.5 m If one can of paint will cover

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Material: $2.20 x 6 = $13.20

Taxes: $13.20 x 0.13 = $ 1.72

Total Cost: $14.92

c) If 1 m2 of material costs $2.20, determine the total cost of the curtains including taxes?

2 m

2 m