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What is the area of the composite figure ?

What is the area of the composite figure ?-example-1

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Answer:

225/2 sq units or 112.5 sq units

Explanation:

The length of the parallelogram is 9, so the length of the rectangle is 9, and the base of the triangle is 9.

The dimensions of the triangle are b = 9, h = 7

The dimensions of the rectangle are l = 9, w = 3

The height if the triangle is 7, the width of the rectangle is 3, (10 total) so the height of the parallelogram is 6

The area of the triangle is

A = (1/2)bh

A = (1/2)(9)(7)

A = 63/2

The area of the rectangle is

A = lw

A = (9)(3)

A = 27

The area of the parallelogram is

A = bh

A = (9)(6)

A = 54

The sum of the areas of the 3 shapes is 63/2 + 27 + 54

63/2 + 81

63/2 + 162/2

225/2 or 112.5

User Dan McCallum
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