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Question

Jimmy works on his neighbors' yards after school to earn extra money to buy a car. He is going to plant grass seed in Mr. Troyer's yard. What is the area of the yard?

Solution

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The yard is in the shape of a trapezoid.

The area of a trapezoid is given by:

A=12h(b1+b2)(1)A=\dfrac{1}{2}h(b_1+b_2) \color{white}\tag{1}

where hh is the height perpendicular to the bases b1b_1 and b2b_2.

From the figure, h=28h=28 ft, b1=30b_1=30 ft, and b2=26b_2=26 ft so the area is:

A=12(28)(30+26)A=\dfrac{1}{2}(28)(30+26)

A=(14)(56)A= (14)(56)

A=785 ft2\color{#c34632}A=785\text{ ft}^2

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