Question 1114178

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