SOLUTION: The perimeter of a large rectangular store room measures 900 ft. The surface area of its floor is found to be 50,000 sq ft. How long is each side of the store room?

Question 204546: The perimeter of a large rectangular store room measures 900 ft. The surface area of its floor is found to be 50,000 sq ft. How long is each side of the store room?
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
length = l
width = w
rectangular's perimeter = 900
2l + 2w = 900
divide each side by 2:
l + w = 450
l = 450 - w
rectangular's surface area = 50,000
l * w = 50,000
(450 - w) * w = 50,000
450w - w^2 = 50,000
w^2 - 450w + 50,000 = 0
(w - 250)*(w - 200) = 0
w = 250 or w = 200
if w = 250 then l = 450 - 250 = 200
so the sides of the store room are 250 ft and 200 ft
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