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 58 ft2. Find the dimensions of the new
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Question 1114178: 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 58 ft2. Find the dimensions of the new door
Answer by mananth(16946) (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.
Original area = 3*7.5 = 22.5 ft^2
let x be added to each dimension of the door,
New dimensions are (3+x) and (7.5+x)
the area is increased by 58 ft2.
(3+x)(7.5+x) = 22.5+58
22.5 + 3x +7.5x+x^2 = 22.5+58
x^2+10.5x -58=0
solve the quadratic by formula method.
the positive root is 4
New dimensions are
7 ft wide and 11.5 ft height
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