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Area of a Trapezoid Worksheet

Calculate the area of trapezoids using the formula and apply it to various problems.

Grade 8 Math GeometryAreaArea of a Trapezoid
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Text2 Short AnswerFill in the BlanksMultiple Choice

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CCSS.MATH.CONTENT.6.G.A.1CCSS.MATH.CONTENT.7.G.B.6
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Area of a Trapezoid Worksheet

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Read each question carefully and calculate the area of the trapezoids. Show all your work.

The formula for the area of a trapezoid is A = 1/2 * (b1 + b2) * h, where b1 and b2 are the lengths of the parallel bases and h is the height.

b1 = 20 cmb2 = 10 cmh = 8 cm

1. Calculate the area of the trapezoid shown above.

b1 = 16 mb2 = 12 mh = 7 m

2. Find the area of the trapezoid above.

3. If a trapezoid has bases of 10 inches and 14 inches, and a height of 5 inches, its area is   square inches.

4. The two parallel sides of a trapezoid are called its  .

5. The perpendicular distance between the two parallel bases of a trapezoid is called the  .

6. A trapezoid has bases of 6 cm and 8 cm, and a height of 4 cm. What is its area?

a

24 cm²

b

28 cm²

c

56 cm²

d

14 cm²

7. Which of the following shapes is NOT a trapezoid?

a

A quadrilateral with exactly one pair of parallel sides.

b

A rectangle.

c

A shape with two bases and a height.

d

An isosceles trapezoid.

8. A garden plot is shaped like a trapezoid. One parallel side is 12 feet long, the other is 18 feet long, and the distance between them is 10 feet. What is the area of the garden?

9. Sarah wants to paint a wall that has a trapezoidal window. The top of the window is 3 meters wide, the bottom is 5 meters wide, and it is 2 meters tall. What is the area of the window?