Area of Compound Figures Worksheet

Calculate the area of various compound figures by decomposing them into simpler shapes. Includes questions on rectangles, triangles, and circles.

Grade 8 Math GeometryAreaArea of Compound Figures

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Includes

4 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.6CCSS.MATH.CONTENT.8.G.A.1

Topics

mathgeometryareacompound figuresgrade 8

8 sections · Free to use · Printable

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Area of Compound Figures

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Instructions: Decompose each compound figure into simpler shapes (rectangles, triangles, circles). Calculate the area of each simpler shape and then find the total area of the compound figure. Show all your work.

1. Calculate the area of the compound figure below. All dimensions are in centimeters.

2. Find the area of the L-shaped figure. All measurements are in meters.

3. Determine the area of the figure, which consists of a rectangle and a semicircle. Use π ≈ 3.14. Dimensions are in inches.

4. To find the area of a complex shape, you can it into simpler geometric figures.

5. The formula for the area of a triangle is .

6. A compound figure is made up of two or more shapes.

7. You can always find the area of a compound figure by adding the areas of its component shapes.

True

False

8. The area of a figure with a 'hole' is found by subtracting the area of the hole from the total area.

True

False

9. A rectangular swimming pool is 15 meters long and 8 meters wide. It has a semicircular diving area attached to one of its 8-meter sides. Calculate the total area of the pool and diving area. Use π ≈ 3.14.