Area of Complex Figures

Calculate the area of various complex figures by decomposing them into simpler shapes like rectangles, triangles, and parallelograms.

Grade 7 Math GeometryArea of Complex Figures

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathgeometryareacomplex figuresgrade 7

8 sections · Free to use · Printable

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

1. Find the area of the figure below.

2. A swimming pool is shaped like the figure below. What is the area of the pool's surface?

3. To find the area of a complex figure, you can break it down into simpler shapes like , , and .

4. Which of the following formulas would you use to find the area of a triangle?

Area = length × width

Area = π × radius²

Area = ½ × base × height

Area = side²

5. You can always find the area of a complex figure by adding the areas of the simpler shapes it's made of.

True

False

6. Calculate the area of the following figure. All angles are right angles.

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