SOLUTION: A rectangle whose area is 180 sq.ft. has its sides, respectively, diminished by 7 ft. and 4 ft. so as to become a square. The length of the side of the square is

Algebra ->  Average -> SOLUTION: A rectangle whose area is 180 sq.ft. has its sides, respectively, diminished by 7 ft. and 4 ft. so as to become a square. The length of the side of the square is      Log On


   

Question 919987: A rectangle whose area is 180 sq.ft. has its sides, respectively, diminished by 7 ft. and 4 ft. so as to become a square. The length of the side of the square is
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Lw = 180, L = 180/w
..........
(L-7)(w-4) = Area of Square
%28180%2Fw+-7%29%28w-4%29+=+s%5E2
%28%28180+-7w%29%2Fw%29%28w-4%29+=+s%2As
(180 - 7w)/w = w-4
180-7w = w^2 - 4w
w^2 +3w - 180 = 0 Tossing out the negative solution for unit measure)
(w+15)(w-12) = 0
w = 12
s = +highlight_green%288%29 12-4
.........
And Checking... L = 15 180%2F12
(15-7)(12-4) = 8•8 = s^2