SOLUTION: The length of a rectangle is 4 ft more than its width. If the length is increased by 2 ft, the area of the rectangle is increased by 10 ft. Pls help me in answering this geometr

Algebra ->  Human-and-algebraic-language -> SOLUTION: The length of a rectangle is 4 ft more than its width. If the length is increased by 2 ft, the area of the rectangle is increased by 10 ft. Pls help me in answering this geometr      Log On


   



Question 1003992: The length of a rectangle is 4 ft more than its width. If the length is increased by 2 ft, the area of the rectangle is increased by 10 ft.
Pls help me in answering this geometry problem

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the length and width, L and W.
From the facts they give us, we have
L = W + 4
and, since area A = LW,
(L + 2)W = LW + 10
This gives
LW + 2W = LW + 10
2W = 10
W = 5 ft and then
L = 9 ft