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The figure shows a square ABCD, and point E is on the extension with DE = 6 and CE = 10. W

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by Max@Math Revolution » Wed May 06, 2020 12:14 am

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A

B

C

D

E

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[GMAT math practice question]

The figure shows a square ABCD, and point E is on the extension with DE = 6 and CE = 10. What is the area of \(\triangle\) BCE?
5.6PS.png
A. 20
B. 24
C. 30
D. 32
E. 40
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Re: The figure shows a square ABCD, and point E is on the extension with DE = 6 and CE = 10. W

by Max@Math Revolution » Fri May 08, 2020 12:17 am
=>

Since CD^2 = 10^2 - 6^2 = 64, we have CD = 8.
Then the base BC of the triangle is 8, and its height is 8 as well.
Thus, the area of the triangle is (1/2)8*8 = 32.

Therefore, D is the answer.
Answer: D
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