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Area of Irregular Figures - Grade 7 Math

Calculate the area of various irregular figures by decomposing them into simpler shapes. Aligned with Grade 7 Geometry standards.

Grade 7 Math GeometryArea of Irregular Figures
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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.7.G.B.6

Topics

mathgeometryareairregular figuresgrade 7
7 sections · Free to use · Printable
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Area of Irregular Figures

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Read each question carefully and calculate the area of the irregular figures. Show your work for full credit.

1. Find the area of the figure below. All angles are right angles. (Units are in cm).

8 cm4 cm4 cm7 cm

Area:  

2. Calculate the area of the L-shaped figure shown below. All dimensions are in meters.

10 m4 m10 m4 m

Area:  

3. To find the area of an irregular figure, you can   it into simpler shapes like rectangles, triangles, or squares.

4. The area of a triangle is calculated using the formula:  .

5. A garden has the shape of a rectangle with a semi-circle attached to one of its longer sides. The rectangle is 10 feet long and 6 feet wide. What is the total area of the garden? (Use π ≈ 3.14)

6. Which of the following is NOT a common method for finding the area of irregular figures?

a

Decomposition into simpler shapes

b

Subtraction of known areas

c

Using a protractor to measure angles

d

Counting unit squares (on a grid)