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The figure shows rectangle ABCD with area 60 cm^2

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The figure shows rectangle ABCD with area 60 cm^2

by Max@Math Revolution » Fri Nov 15, 2019 12:20 am
[GMAT math practice question]

The figure shows rectangle ABCD with area 60 cm^2. The rectangle is divided by the 4 congruent rectangles, and BD is a diagonal of rectangle ABCD. What is the area of the shaded region?

Image

A. 11
B. 13
C. 15
D. 16
E. 17
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by Max@Math Revolution » Sun Nov 17, 2019 5:18 pm
=>

The area of the shaded region is half of the area of rectangle EFGH.
The area of rectangle EFGH is half of the area of rectangle ABCD, 60.

So the area of the shaded region is (1/2)(1/2)(60) = 15.

Therefore, the answer is C.
Answer: C
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