Problema Solution
a carpenter is building a rectangular room with a fixed perimeter of 328 ft. What dimensions would yield the maximum area? what is the maximum area?
Answer provided by our tutors
let length = l
width = w
2(l+w) = 328
l+w=164
dl+dw=0
dl=-dw
area = a=l*w
da = ldw+wdl
for max. da=0
ldw = -wdl
ldw=-w(-dw)
l=w
area will be maximum when l=w=82
area=6724