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Area of Trapezoid by Decomposing - Printable Mathematics Worksheets - Wayground

Area of Trapezoid by Decomposing

20 questions

6th - 7th Grade

Mathematics

Area of Trapezoid by Decomposing is a Grade 6–7 mathematics worksheet with 20 multiple-choice questions focused on finding the area of trapezoids by breaking each shape into a square and two triangles. Students first identify a trapezoid and recognize the decomposition strategy, then apply it to diagrams and problems with given bases and heights, including measurements in meters, feet, centimeters, and inches and values involving decimals. This free printable worksheet helps students connect a visual area model to accurate calculation and select the result that matches their work. It is useful for guided practice, independent review, or a quick check of whether students can use the decomposition method rather than rely on an inappropriate rectangle or triangle formula. A complete answer key is included for efficient checking and feedback.

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Area of Trapezoid by Decomposing

Total questions: 20

Name
Class
Date
1.
What is this polygon called?
a)
Parallel
b)
Triangle
c)
Trapezoid
d)
Square
2.

How do you find the area of a Trapezoid?

a)

Base x Height

b)

Base x Height ÷ 2

c)

Create a square and two triangles then find the areas of them and add.

3.
Find the area of the trapezoid
a)
36 meters squared
b)
72 meters squared
c)
18 meters squared
4.
Find the area:
a)
84 m2
b)
168 m2
c)
112 m2
d)
56 m2
5.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
6.

Find the area of this trapezoid. The Bases are 8 inches and 2.2 inches. The height is 4 inches.

a)

40.8 in2

b)

20.4in2

c)

10.2 in2

d)

24 in2

7.
a)
6 in
b)
9 in
c)
6 in2
d)
9 in2
8.

Find the area of this trapezoid.

a)

26 ft2

b)

20 ft2

c)

52 ft2

d)

40 ft2

9.

Find the area of this trapezoid.

a)

30 cm2

b)

44 cm2

c)

88 cm2

d)

22 cm2

10.
a)
4,326 in2
b)
1,512 in2
c)
2,317.5 in2
d)
2,163 in2
11.
a)
6.5 cm2
b)
9.75 cm
c)
13 cm2
d)
8 cm2
12.
a)
108 ft2
b)
54 ft2
c)
42 ft2
d)
63 ft2
13.

Find the area of the TRAPEZOID.

a)

288 ft2

b)

249.4 ft2

c)

144 ft2

d)

1870.6 ft2

14.
Find the area:
a)
19 cm2
b)
39 cm2
c)
78 cm2
d)
120 cm2
15.

What is the area?

a)

150 ft2

b)

180 ft2

c)

315 ft2

d)

378 ft2

16.
Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.
a)
18 
b)
36
c)
72
d)
40
17.
Find the area of a trapezoid with bases of 12 meters and 6 meters, and a height of 5 meters. 
a)
90
b)
18
c)
45
d)
36
18.
 Find the area of a trapezoid with bases of 17 centimeters and 19 centimeters, and a height of 2 centimeters. 
a)
18
b)
45
c)
32
d)
36
19.
Find the area of a trapezoid with bases of 6 feet and 10 feet, and with a height of 6 feet?
a)
60
b)
36
c)
32
d)
48
20.
2. What is the area of a trapezoid with base one 5 inches, base two 3 inches, and a height of 9 inches?
a)
72 square inches
b)
17 inches
c)
36 square inches
d)
18 square inches
Answer Key

Area of Trapezoid by Decomposing

Total questions: 20

1.
c) Trapezoid
2.
c)

Create a square and two triangles then find the areas of them and add.

3.
a) 36 meters squared
4.
a) 84 m2
5.
c) 78 ft2
6.
b)

20.4in2

7.
c) 6 in2
8.
a)

26 ft2

9.
c)

88 cm2

10.
d) 2,163 in2
11.
a) 6.5 cm2
12.
b) 54 ft2
13.
b)

249.4 ft2

14.
b) 39 cm2
15.
a)

150 ft2

16.
a) 18 
17.
c) 45
18.
d) 36
19.
d) 48
20.
c) 36 square inches

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FAQs

What does the Area of Trapezoid by Decomposing worksheet cover?

This worksheet uses 20 multiple-choice questions to help students find the area of trapezoids by decomposing each shape into a square and two triangles. It progresses from identifying a trapezoid and recognizing the decomposition method to calculating areas from diagrams and stated base-and-height measurements, including decimal values and square-unit answers.

How can I use this worksheet to teach finding trapezoid area by decomposition?

Introduce the worksheet by modeling how a trapezoid can be partitioned into a square and two triangles, then calculate each part and add the areas. Work through one diagram-based item together before students complete the remaining multiple-choice problems, and ask them to explain why the decomposition is more appropriate than simply multiplying the two bases. Use the items with stated measurements, such as bases of 8 inches and 2.2 inches with a height of 4 inches, to connect the visual strategy to numerical calculation.

What mistakes should I watch for when students complete this trapezoid area worksheet?

Watch for students choosing base × height, using only half of a product, or adding the base lengths without accounting for the height; these errors appear as plausible alternatives in the multiple-choice items. Students may also mishandle decimal measurements, select an answer with the wrong square-unit value, or confuse the two bases with a side that is not a base. Ask them to label both bases and the height, decompose the figure, and check that the final unit is squared.

How do I assign and grade this Area of Trapezoid by Decomposing worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable student work can be graded by scanning it with the Wayground for Teachers app. The printable format can also support classrooms that are reducing screen time while students practice the 20 area questions.

How can I differentiate this trapezoid area worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the diagrams, measurements, and multiple-choice options are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when appropriate for students working through the trapezoid decomposition steps.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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