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

Algebra ->  Customizable Word Problem Solvers  -> Misc -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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