SOLUTION: the perimeter of a large rectangular room measures 900 ft. the surface area of its floor is found to be 50000sq.ft how long is each side of the store room?

Question 273619: the perimeter of a large rectangular room measures 900 ft. the surface area of its floor is found to be 50000sq.ft how long is each side of the store room?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the perimeter of a large rectangular room measures 900 ft. the surface area of its floor is found to be 50000sq.ft how long is each side of the store room?
L*W = 50000
l= 50000/W
Perimeter = 2L+2W
900 = 2* 50000/w + 2w
900= 100000 +2w^2 / w
900w= 100000 +2w^2
2w^2-900w+100000
w^2-450w+50000 =0
w^2-250w-200w +50000=0
w(w-250)-200(w-250)=0
(w-200)(w-250) =0
w= 200 or 250 feet
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