Area of Compound Figures Worksheet

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

Grade 9 Math GeometryAreaArea of Compound Figures

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Includes

3 Short AnswerFill in the BlanksTrue / False

Standards

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

Topics

mathgeometryareacompound figuresgrade 9

7 sections · Free to use · Printable

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Area of Compound Figures

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Read each question carefully and calculate the area of the compound figures. Show all your work.

1. Find the area of the figure below.

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

3. A rectangular garden measures 12 feet by 8 feet. A circular pond with a radius of 3 feet is placed in the center of the garden. The area of the garden NOT covered by the pond is square feet. (Use π ≈ 3.14)

4. A compound figure consists of a semicircle on top of a rectangle. The diameter of the semicircle is 10 cm, and the rectangle has a length of 10 cm and a width of 8 cm. Find the total area of the figure. (Use π ≈ 3.14)

5. The area of a compound figure is always the sum of the areas of its individual parts.

True

False