## Related questions with answers

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

VerifiedStep 1

1 of 2The yard is in the shape of a trapezoid.

The area of a trapezoid is given by:

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

where $h$ is the height perpendicular to the bases $b_1$ and $b_2$.

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

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

$A= (14)(56)$

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

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