Question

A room has width half of its length. when 6 is decreased from both length and width then its area is differed by 108 so find the length.

Answer 1

Assume width=x, length=2x
Area=2x*x=2x^2
After decreasing 6 from width and Length, width=x-6,length=2x-6
Area=(x-6)(2x-6)=2x^2-18x+36

2x^2-18x+36-2x^2=108
-18x+36=108
-x+2=6
x=-4
Length=2x=-8