If width is increased by 1m and length is decreased by 2m then area of the new rectangle is 4 sq.m less than original...

Question

The length of a rectangle exceeds its width by 5m. If the width is increased by 1m and the length is decreased by 2m, the area of the new rectangle is 4 sq.m less than the area of the original rectangle. Find the dimensions of the original rectangle.

Answer 1

L - W = 5
L*W = A1

(L-2)*(W+1) = A1 - 4.
= LW + L - 2W - 2 = LW - 4
= 2W - L = 2
= 2W - (W + 5) = 2
=> W = 7m & L = 12m