Find the area on the lawn on which the goat can graze.

gen_shao

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Nov 10, 2015
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A lawn ABC is in the form of a right triangle whose leg AC =120m and a short leg BC = 60m. A goat is tied to a peg D which is located outside the triangle and is 25m from BC and 115m from AC. The farthest distance its mouth can reach is 65m from the peg. Find the area on the lawn on which the goat can graze.

a.) 3152.44 b.) 1352.44 c.)2135.44 d.) 4135.24

the correct answer is supposedly letter a.
this is frustrating because the area that i solved is less than a thousand and not even within the choices..

it seems that i can't find the correct placement of the peg that would yield an area of 3152.44....

by the way ......all choices are in m^2

thanks for help
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