Problema Solution
A rancher wants to use 200 feet of fencing to enclose a rectangular area of 2500 square feet. What dimensions should the rectangle have?
Answer provided by our tutors
let dimension of rectangle be l and w, where l is length and w is width.
==> l*w = 2500 and 2(l+w) = 200 ==> l+w = 100
==> l(100-l) = 2500
==> l2 - 100l + 2500 = 0
==> (l - 50)2 = 0
l = 50 and hence, w = 50