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Area of Complex Figures Worksheet

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

Grade 6 Math GeometryArea of Complex Figures
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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.6.G.A.1

Topics

mathgeometryareacomplex figuresgrade 6
7 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 your work.

1. Find the area of the figure below. All angles are right angles.

8 cm10 cm6 cm4 cm

Area:   cm²

2. Calculate the area of the L-shaped figure shown below. All angles are right angles.

6 m8 m6 m4 m

Area:   m²

3. A composite figure is made up of a rectangle with a length of 12 inches and a width of 5 inches, and a triangle with a base of 12 inches and a height of 4 inches. The total area of the composite figure is   square inches.

4. Which of the following formulas is used to find the area of a triangle?

a

Area = length × width

b

Area = π × radius²

c

Area = ½ × base × height

d

Area = 2 × (length + width)

5. A garden is shaped like a rectangle measuring 15 feet by 8 feet, with a triangular flower bed attached to one of the 8-foot sides. The triangle has a base of 8 feet and a height of 6 feet. What is the total area of the garden?