Problema Solution
A rectangular lot has an area of 240 meter square. What is the width of the lot if it requires 64 meters of of fencing materials to enclose it?
Answer provided by our tutors
let
l = the length of the rectangular lot, l>0
w = the width of the rectangular lot,w >0
A = 240 m^2 the area of the lot
since A = l*w we have
l*w = 240
the lot requires 64 meters of of fencing materials to enclose it means the perimeter of the lot is 64 m:
2(l + w) = 64 divide both sides by 2
l + w = 32
l = 32 - w
plug l = 32-w into l*w = 240
(32 - w)*w = 240
by solving the quadratic equation we find
w = 12 m
click here to see the step by step solution of the equation
the width of the lot is 12 meters.