Question

A carpenter is building a rectangular room with a fixed perimeter of 356 ft. What dimensions would yield the maximum area? What is the maximum area?

Answer 1

Knowing that to get a maximum area it is when all sides are equal. we can conclude that the max area is in a square. So P = 4s
356/4 = 89. So if each side is 89. Therefore 89^2 = Max Area.