The smaller rectangle in the figure above

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?

1 Explanation

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Jeffrey Braganza

2(small rectangle) = (big rectangle)
2(150*100) = (150+W)*(100+W)
30000 = 15000 +250W + W^2
0 = -15000 +250W + W^2
0 = [300 * (-50)] +(300 - 50)W + W^2
(W+300)*(W-50) = 0
W = 50 is the answer

Dec 31, 2015 • Comment

Cydney Seigerman, Magoosh Tutor

Excellent! Thanks for being such an active voice on the forum :D

Jan 1, 2016 • Reply