Problema Solution
A rancher wants to use 300 feet of fencing to enclose a rectangular are of 3600 square feet. What dimensions should the rectangle have?
Answer provided by our tutors
let
l = the length of the area
w = the width of the area
A rancher wants to use 300 feet of fencing to enclose the area
2(l + w) = 300 divide both sides by 2
l + w = 150
l = 150 - w
the area is 3600 square feet:
l*w = 3600
plug l = 150 - w into the last equation:
(150 - w)w = 3600
by solving we find:
one side is 30 ft and the other is 120 ft. the rectangle should have dimensions of: 30 ft by 120 ft.