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The figure shows the square with a side length of 10 cm, and

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The figure shows the square with a side length of 10 cm, and

by Max@Math Revolution » Wed Nov 06, 2019 12:46 am
[GMAT math practice question]

Image

The figure shows the square with a side length of 10 cm, and a circle is inscribed by the square. What is the area of the shaded region?

A. 40 cm^2
B. 44 cm^2
C. 46 cm^2
D. 48 cm^2
E. 50 cm^2
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by Max@Math Revolution » Thu Nov 07, 2019 11:10 pm
=>

If we consider moving the areas of A and B to C and D, respectively, we have two squares with a side length of 5. Thus the sum of the areas of two squares is 25 + 25 = 50.
Thus the area of the shaded region is 50.

Image

Therefore, E is the answer.
Answer: E
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