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Area of Rectilinear Shapes

This worksheet focuses on calculating the area of rectilinear shapes by decomposing them into simpler rectangles.

Grade 7 Math GeometryArea of Rectilinear Shapes
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Includes

2 Short AnswerFill in the BlanksTrue / False

Standards

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

Topics

mathgeometryarearectilinear shapesgrade 7
6 sections · Free to use · Printable
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Area of Rectilinear Shapes

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

1. Find the area of the rectilinear shape shown below. All angles are right angles.

8 cm6 cm10 cm5 cm

Show your work:

2. Calculate the area of the L-shaped figure. All measurements are in meters.

10 m11 m3 m7 m

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3. To find the area of a complex rectilinear shape, you can   it into simpler rectangles or squares.

4. The formula for the area of a rectangle is   times  .

5. A rectilinear shape must have all interior angles equal to 90 degrees.

T

True

F

False

6. You can only decompose a rectilinear shape in one way to find its area.

T

True

F

False

7. A garden has the shape of a rectilinear figure with sides 12 ft, 5 ft, 4 ft, 7 ft, 8 ft, and 12 ft. Draw the shape and find its total area.