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

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) (Show Source): You can put this solution on YOUR website!
Lw = 180, L = 180/w
..........
(L-7)(w-4) = Area of Square

(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 =

.........
And Checking... L = 15
(15-7)(12-4) = 8�8 = s^2

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