Area of Complex Figures Worksheet

Grade 8 math worksheet on calculating the area of complex figures by decomposition and composition.

Grade 8 Math GeometryArea of Complex Figures

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Includes

4 Short AnswerFill in the BlanksTrue / False

Standards

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

Topics

mathgeometryareacomplex figuresgrade 8

8 sections · Free to use · Printable

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Area of Complex Figures

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

1. Find the area of the figure shown below. All angles are right angles. (Units are in cm)

2. Calculate the area of the shaded region. The outer rectangle has a length of 12 ft and a width of 8 ft. The inner square has sides of 4 ft.

3. A composite figure is made of a semicircle on top of a rectangle. The rectangle has dimensions of 10 meters by 6 meters. The diameter of the semicircle is equal to the width of the rectangle. Find the total area of the figure. (Use π ≈ 3.14)

4. To find the area of a complex figure, you can either it into simpler shapes or it from a larger shape.

5. The area of a complex figure can always be found by adding the areas of its individual parts.

True

False

6. A garden is shaped like a rectangle with a triangular section removed from one corner. The rectangle is 15 yards long and 10 yards wide. The triangular section has a base of 5 yards and a height of 4 yards. What is the area of the garden?