the legth of a rectangle is three times its width. if the width is diminished by 1 m and the legth increased by 3 m, the area will be 72 sq m. find the dimensions of the original rectangle?
let width of rectangle be "x" L= 3x W=x if width is diminished by 1 that means new width = (x-1) similarly the new length would be (3x+3) hence (x-1)*(3x+3)=72 (3x^2)-3=72 3x^2=75 x^2=25 x= +/- 5 reject -5 as you cant have negative length hence x=5 so original dimensions of rectangle is L= 15m W=5m
