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In the figure above, three squares and a triangle have areas of A, B, C, and X as shown. If

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by BTGmoderatorDC » Wed Mar 25, 2020 6:21 pm

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E

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2019-01-09_1402.png
In the figure above, three squares and a triangle have areas of A, B, C, and X as shown. If A = 144, B = 81, and C = 225, then X =

(A) 150
(B) 144
(C) 80
(D) 54
(E) 36


OA D

Source: Official Guide
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Re: In the figure above, three squares and a triangle have areas of A, B, C, and X as shown. If

by Scott@TargetTestPrep » Sat Mar 28, 2020 3:12 pm
BTGmoderatorDC wrote: ↑
Wed Mar 25, 2020 6:21 pm
 2019-01-09_1402.png

In the figure above, three squares and a triangle have areas of A, B, C, and X as shown. If A = 144, B = 81, and C = 225, then X =

(A) 150
(B) 144
(C) 80
(D) 54
(E) 36


OA D

Source: Official Guide
Based on the given areas, we see that the sides of triangle x are 12, 9, and 15, so we have a 9-12- 15 right triangle. Thus, the area of the triangle is 9 x 12 x 1/2 = 54.

Answer: D

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