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In the figure above, the two square regions have areas 16 and 25, respectively. What is the area of the shaded...

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by AAPL » Fri Oct 09, 2020 6:10 pm

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GMAT Paper Tests
Geometry.PNG
In the figure above, the two square regions have areas 16 and 25, respectively. What is the area of the shaded triangular region?

A. 6
B. 8
C. 9
D. 12
E. 15

OA A
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Re: In the figure above, the two square regions have areas 16 and 25, respectively. What is the area of the shaded...

by Scott@TargetTestPrep » Thu Oct 22, 2020 9:25 am
AAPL wrote: ↑
Fri Oct 09, 2020 6:10 pm
 GMAT Paper Tests

Geometry.PNG

In the figure above, the two square regions have areas 16 and 25, respectively. What is the area of the shaded triangular region?

A. 6
B. 8
C. 9
D. 12
E. 15

OA A
Solution:

Since the triangle is a right triangle with hypotenuse = √25 = 5 and a leg √16 = 4, it must be a 3-4-5 right triangle. Therefore, the area of the triangle is ½ x 3 x 4 = 6.

Answer: A

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