SOLUTION: The dimensions of a door are 3 ft wide by 7 ft 6 in high. If the same amount is added to each dimension of the door, the area is increased by 67.5 ft2. Find the dimensions of the n
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Question 995480: The dimensions of a door are 3 ft wide by 7 ft 6 in high. If the same amount is added to each dimension of the door, the area is increased by 67.5 ft2. Find the dimensions of the new door. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The dimensions of a door are 3 ft wide by 7 ft 6 in high. If the same amount is added to each dimension of the door, the area is increased by 67.5 ft2. Find the dimensions of the new door.
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3*7.5 = 22.5 sq ft
(3+x)*(7.5+x) = 22.5 + 67.5 = 90
x^2 + 10.5x - 67.5 = 0
(x + 15)*(x - 4.5) = 0
x = 4.5 feet