Area of Complex Shapes Worksheet

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

Grade 7 Math GeometryArea of Complex Shapes

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathgeometryareacomplex shapesgrade 7

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 your work for full credit.

1. Find the area of the shape below.

Area: cm²

2. To find the area of a complex shape, you can often decompose it into simpler shapes like , , or .

3. Calculate the area of the L-shaped figure. All angles are right angles.

Area: m²

4. A rectangular garden measures 10 feet by 15 feet. A circular fountain with a radius of 3 feet is placed in the center. What is the area of the garden NOT covered by the fountain? (Use π ≈ 3.14)

150 sq ft

28.26 sq ft

121.74 sq ft

178.26 sq ft

5. Find the area of the shaded region.

Area: cm²

6. The area of a complex shape can always be found by adding the areas of the simpler shapes it is composed of.

True

False