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Area of Irregular Shapes - Printable Mathematics Worksheets grade 7 - Wayground

Area of Irregular Shapes

20 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students 20 multiple-choice questions on finding the area of irregular and composite shapes. Students determine areas of irregular polygons, composite figures, arrows, shaded regions, and shapes that combine different regions, including a problem involving a circular component and π. The questions use square centimeters, meters, feet, inches, and square units, helping students attend to both calculations and appropriate area units. As students work through the visual figures and the garden word problem, they practice breaking complex shapes into manageable regions, combining or subtracting areas, and selecting the correct result from plausible choices. This free printable worksheet is useful for guided practice, independent work, review, or a Grade 7 mathematics assessment. It includes a complete answer key so teachers can check student understanding efficiently.

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Area of Irregular Shapes

Total questions: 20

Name
Class
Date
1.

Find the area of the shape above

a)

67

b)

52 sq cm

c)

67 sq cm

d)

52 cm

2.

What is the area?

a)

16 cm squared

b)

36 cm squared

c)

144 cm squared

d)

72 cm squared

3.

Find the area of this irregular polygon.

a)

100 units squared

b)

150 units squared

c)

50 units squared

d)

200 units squared

4.
Find the area of this irregular polygon.
a)
115
b)
188
c)
60
d)
901
5.

What is the area of the composite figure?

a)

80 cm2

b)

16 cm2

c)

96 cm2

d)

32 cm2

6.
Solve.
a)
102 m2
b)
39 m2
c)
51.2 m
d)
81 m2
7.

Find the area of the shaded region:

a)

350 cm2

b)

137.5 cm2

c)

212.5 cm2

d)

484.2 cm2

8.

What is the area of the arrow?

a)

17 in2

b)

40 in2

c)

52 in2

d)

61 in2

9.

What is the area of the composite figure?

a)

40 sq cm

b)

65 sq cm

c)

52.5 sq cm

d)

25 sq cm

10.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
11.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
12.
What is the area of this shape?
a)
120 cm2
b)
124 cm2
c)
148 cm2
d)
184 cm2
13.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
14.
Penny's garden has a fountain in the middle that has a base of 5 in. and the height is 9 in. The garden around it has a base of 16 in. and the height is 5 in. What is the area of the garden? 
a)
80in
b)
40in2
c)
40cm2
d)
80in2
15.
What is the area of the composite figure? (use 3.14 for pi)
a)
14 cm2
b)
6.28 cm2
c)
12.56 cm2
d)
20.28 cm2
16.
What is the approximate area of the shaded region?
a)
70 cm2
b)
12 cm2
c)
82 cm2
d)
58 cm2
17.

Find the area of the composite figure

a)

3

b)

51.5

c)

32

d)

44

18.

The Wilson’s new pool shed is shown below. Mrs. Wilson wants to paint it a turquoise color to match the pool’s tile. Find the area that needs to be painted, not including the door which is 1.0 m wide.

a)

3.6

b)

4.6

c)

2.9

d)

5.6

19.
a)
296.96 m2
b)
248.96 m2
c)
98.24 m2
d)
73.12 m2
20.
a)
153.93 in2
b)
115.43 in2
c)
230.86 in2
Answer Key

Area of Irregular Shapes

Total questions: 20

1.
b)

52 sq cm

2.
b)

36 cm squared

3.
a)

100 units squared

4.
b) 188
5.
a)

80 cm2

6.
d) 81 m2
7.
c)

212.5 cm2

8.
d)

61 in2

9.
c)

52.5 sq cm

10.
c) 106 m2
11.
d) 61ft2
12.
d) 184 cm2
13.
d) 12 cm2
14.
b) 40in2
15.
d) 20.28 cm2
16.
d) 58 cm2
17.
b)

51.5

18.
c)

2.9

19.
d) 73.12 m2
20.
a) 153.93 in2

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FAQs

What does the Area of Irregular Shapes worksheet cover?

This worksheet covers finding the area of irregular polygons, composite figures, arrows, shaded regions, and other shapes presented in 20 multiple-choice questions. Students build skill by analyzing each figure, combining or subtracting component areas when needed, and choosing an answer with the correct square-unit label.

How can I use this worksheet to teach students to find the area of irregular shapes?

Begin by modeling how to identify simpler regions within an irregular or composite figure, then demonstrate whether their areas should be added or subtracted. Use the shaded-region, arrow, and garden questions to prompt students to explain which measurements and area relationships they used before selecting an option. After guided examples, assign the remaining multiple-choice items for independent practice and discuss why distractor answers are incorrect.

What mistakes should I watch for when students complete this irregular-shapes worksheet?

Watch for students adding every visible region when a shaded region or a hole should be subtracted, or using the area of only one component of a composite figure. Students may also confuse area with perimeter, choose an answer with incorrect or missing square units, or apply the circular measurement incorrectly in the item that says to use 3.14 for π. The multiple-choice options make these calculation and unit errors visible for review.

How do I assign and grade the Area of Irregular Shapes worksheet?

On Wayground, you can assign this worksheet as a printable PDF or use it as a digital quiz, and it includes a complete answer key. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time while students practice area calculations.

How can I differentiate this irregular-shapes worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or 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 your learners.

Where can I find more worksheets like this on Wayground?

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

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