The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were

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2015-10-16_0901.png
The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were each extended by \(w\) feet to make the larger rectangular lot shown. If the area of the enlarged lot is twice the area of the original lot, what is the value of \(w?\)

(A) 25
(B) 50
(C) 75
(D) 100
(E) 200

Answer: B

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