SOLUTION: the area of a rectangle is 360 square units. if one unit is added to both the length and the with of the rectangle the new area is 400 squre units. what are the dimensionsof the or

Question 339696: the area of a rectangle is 360 square units. if one unit is added to both the length and the with of the rectangle the new area is 400 squre units. what are the dimensionsof the original rectangle?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let width be x
length be 360/x
..
1 is added
x+1
360/x + 1
(x+1)(360/x +1)=400
(x+1)(360+x)/x=400
(x+1)(360+x)=400x
360x+x^2+360+x=400x
x^2-39x+360=0
x^2-24x-15x+360=0
x(x-24)-15(x-24)=0
(x-24)(x-15)=0
x=15 OR 24
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