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Grade 8 Composite Area Worksheet

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

Grade 8 Math GeometryComposite Area
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.6CCSS.MATH.CONTENT.8.G.A.5

Topics

mathgeometrycomposite areagrade 8
8 sections · Free to use · Printable
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Composite Area Practice

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

1. Find the area of the shape below. All angles are right angles.

8 cm6 cm5 cm10 cm

2. Calculate the area of the figure.

10 m7 m5 m

3. A rectangular garden is 12 feet long and 8 feet wide. A circular flower bed with a radius of 3 feet is in the center of the garden. The area of the garden NOT covered by the flower bed is approximately   square feet. (Use π ≈ 3.14)

4. What is the area of the shaded region in the figure below, given that the square has a side length of 10 cm and the circle has a radius of 5 cm?

10 cmr = 5 cm
a

21.5 cm²

b

78.5 cm²

c

100 cm²

d

178.5 cm²

5. To find the area of a composite shape, you always subtract the areas of the individual shapes.

T

True

F

False

6. A path 2 meters wide surrounds a rectangular lawn that is 15 meters long and 10 meters wide. What is the area of the path?