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(05.03)

Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. (6 points)

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(05.03) Bev has to cut her grandma's grass this weekend and wants to know exactly-example-1

1 Answer

4 votes

Answer:

220.5 square feet

Explanation:

You want to know the area of an irregular shape.

Composition

The figure can be decomposed into a triangle and a trapezoid by extending the vertical line through the figure.

Triangle

The triangle has side lengths 15 ft and 15 ft, so its area is ...

A = 1/2bh

A = 1/2(15 f)(15 ft) = 112.5 ft²

Trapezoid

The trapezoid has bases of 25 ft and 29 ft, and a height of 4 ft, so its area is ...

A = 1/2(b1 +b2)h

A = 1/2(25 ft +29 ft)(4 ft) = 108 ft²

Lawn

The area of the grass will be the total of these areas:

grass area = triangle area + trapezoid area

grass area = 112.5 ft² +108 ft² = 220.5 ft²

The area of the grass is 220.5 square feet.

(05.03) Bev has to cut her grandma's grass this weekend and wants to know exactly-example-1
User Ardeshir Ojan
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