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Area of Complex Shapes Worksheet

Calculate the area of various complex shapes by decomposing them into simpler geometric figures.

Grade 8 Math GeometryArea of Complex Shapes
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Includes

4 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.8.G.A.1

Topics

mathgeometryareacomplex shapesgrade 8
8 sections · Free to use · Printable
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Area of Complex Shapes

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

1. Find the area of the shape below.

8 cm6 cm7 cm8 cm

Area:  

2. Calculate the area of the L-shaped figure.

10 m3 m8 m3 m

Area:  

3. To find the area of a complex shape, you can   it into simpler shapes like rectangles and triangles.

4. A composite figure is made up of a rectangle with dimensions 12ft by 8ft, and a triangle with a base of 8ft and a height of 5ft. What is the total area of the composite figure?

5. Which of the following is NOT a common method to find the area of a complex shape?

a

Decomposition

b

Addition method

c

Subtraction method

d

Multiplication method

6. A rectangular garden is 15 meters long and 10 meters wide. A circular flower bed with a radius of 3 meters is in the center of the garden. What is the area of the garden NOT covered by the flower bed? (Use π = 3.14)