The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 feet, the area will remain the same. Find the dimensions of the original rectangle.

1 answer

Width = W.
Length = W+8.

A1 = A2.
W(W+8) = (W+4)(W+3)
W^2+8W = W^2+3W+4W+12
W = 12 Ft.

Width = W = 12 Ft.
Length = W+8 = 12+8 = 20 Ft.