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A rectangular room has the rectangular shaped rug shown as a

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by Max@Math Revolution » Mon May 02, 2016 10:34 pm
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 120 square feet and its length is 2 feet longer than its width. If the uniform width between the rug and room is 2 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

A. 32
B. 36
C. 40
D. 46
E. 104

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by Max@Math Revolution » Wed May 04, 2016 8:57 pm
As you can see from the question, rug’s area is 120 and the length is 2 feet longer than the width.
Hence, we can obtain a figure like the one below. So, if we calculate, we get (12+4)(10+4)-12*10=104. The correct answer, thus, is E.
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