Rectangular 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 width?

Answer 1

let width be x

length will be 2x

..

6 is decreased from both

x-6

2x-6

2x^2-(x-6)(2x-6)= 108

2x^2-(2x^2-6x-12x+36)=108

2x^2-2x^2+18x-36=108

18x=108+36

18x=144

x=144/18

x=8 which is the width

Length = 2x = 16 units