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?

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