Area Review

Rectangles and Parallelograms

100

What is the formula for area of a rectangle?

A = bh

200

What is the formula for area of a parallelogram?

A = bh

300

Find the area of the parallelogram whose base is 6.1 ft and the height is 3.1 ft.

18.91 ft²

400

If the area of a rectangle is 61.2 km² and the height is 12 km, solve for the base.

5.1 km

500

If the area of a parallelogram is 72 cm² and the height is 6 cm, solve for the base.

12 cm

Triangles and Kites

100

What is the formula for area of a triangle?

A = bh/2

200

What is the formula for area of a kite?

A = d₁d₂ / 2

300

Find the area of a triangle with base 33 mm and height 21 mm.

346.5 mm²

400

If the area of a triangle is 33.8 km² and the base is 10.4 km, solve for the height.

6.5 km

500

If the area of a kite is 132 in² and one diagonal is 12 in, solve for the other diagonal.

22 in

Trapezoids

100

What is the formula for area of a trapezoid?

A = (b₁+b₂)h / 2

200

Find the area of the trapezoid with bases 9.9 in and 4.5 in and height of 6 in. 

43.2 in²

300

If the area of a trapezoid is 19.4 cm² and the bases are 3 cm and 10.4 cm, solve for the height.

2.9 cm

400

If the area of a trapezoid is 43.3 in², one base is 4.4 in, and the height is 5.7 in, solve for the other base.

10.8 in

500

If the area of a trapezoid is 40.5 mi², one base is 3.4 mi, and the height is 7.1 mi, solve for the other base.

8 mi

Regular Polygons

100

What is the formula for area of a regular polygon?

A = san / 2

200

Find the area of the octagon with side length 12 m and apothem 14.5 m.

696 m²

300

Find the area of the nonagon with side length 9.6 ft and apothem 13.2 ft. 

570.2 ft²

400

If the area of a heptagon is 700.56 yd² and the side length is 13.9 yd, solve for the apothem.

14.4 yd

500

If the area of a pentagon is 95.625 km² and the apothem is 5.1 km, solve for the perimeter. 

37.5 km

Circles

100

What is the formula for area of a circle?

A = πr²

200

What are the two formulas for circumference of a circle?

C = 2πr and C = πd

300

Find the circumference of the circle with radius 3 ft. Leave your answer in terms of pi.

6π ft

400

Find the area of the circle with diameter 21 ft. Round your answer to the nearest tenth.

346.4 ft²

500

If the area of a circle is 78.5 km², solve for the circumference of the circle. Round your answer to the nearest tenth.

31.4 km