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Area of Composite Shapes

Calculate the area of various composite shapes by breaking them down into simpler geometric figures.

Grade 6 Math GeometryAreaArea of Composite Shapes
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathgeometryareacomposite shapesgrade 6
8 sections · Free to use · Printable
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Area of Composite Shapes

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Read each question carefully and calculate the area of the composite shapes. Show your work.

1. Find the area of the shape below:

10 cm5 cm10 cm5 cm

Area:   cm²

2. Calculate the area of the L-shaped figure.

10 m10 m5 m5 m15 m

Area:   m²

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

4. The area of a rectangle is calculated by multiplying its   by its  .

5. Which of the following is NOT a common way to break down a composite shape?

a

Dividing it into rectangles

b

Dividing it into triangles

c

Turning it into a sphere

d

Subtracting areas of missing parts

6. The area of a composite shape is always the sum of the areas of the simpler shapes it is composed of.

T

True

F

False

7. A garden has the shape of a rectangle with a semi-circle attached to one of its longer sides. The rectangular part is 8 meters long and 6 meters wide. What is the total area of the garden? (Use π ≈ 3.14)