Areas of parallelograms, triangles, kites, trapezoids and rhombi

Perimeter and Area of a Parallelogram

Find the perimeter and area of

A. 88 m; 255 m2

B. 88 m; 405 m2

C. 88 m; 459 m2

D. 96 m; 459 m2

A. Find the perimeter and area of

Area of a Parallelogram

Find the area of

A. 156 cm2

B. 135.76 cm2

C. 192 cm2

D. 271.53 cm2

Find the area of

Perimeter and Area of a Triangle

SANDBOX You need to buy enough boards to make the frame of the triangular sandbox shown and enough sand to fill it. If one board is 3 feet long and one bag of sand fills 9 square feet of the sandbox, how many boards and bags do you need to buy?

A. 12 boards and 14 bags of mulch

B. 11 boards and 13 bags of mulch

C. 12 boards and 13 bags of mulch

D. 11 boards and 14 bags of mulch

PLAYGROUND You need to buy enough boards to make the frame of the triangular playground shown here and enough mulch to fill it. If one board is 4 feet long and one bag of mulch covers 7 square feet, how many boards and bags do you need to buy?

Area of a Trapezoid

SHAVING Find the area of steel used to make the side of the razor blade shown below.

Answer: A = 2.75 cm2

A. 288 ft2

B. 295.5 ft2

C. 302.5 ft2

D. 310 ft2

Find the area of the side of the pool outlined below.

OPEN ENDED Miles designed a deck shaped like the trapezoid shown below. Find the area of the deck.

Area of a Trapezoid

A. 58 ft2

B. 63 ft2

C. 76 ft2

D. 88 ft2

Ariel is carpeting a room shaped like the trapezoid shown below. Find the area of the carpet needed.

A. Find the area of the kite.

Answer: 42 ft2

B. Find the area of the rhombus.

A. 48.75 ft2

B. 58.5 ft2

C. 75.25 ft2

D. 117 ft2

A. Find the area of the kite.

A. 45 in2

B. 90 in2

C. 180 in2

D. 360 in2

B. Find the area of the rhombus.

A. 3 yd

B. 6 yd

C. 2.1 yd

D. 7 yd

Trapezoid QRST has an area of 210 square yards. Find the height of QRST.