Question

A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w?

a.) A = 36w - w^2
b.) A = 18w - w^2
c.) A = 36 - w^2
d.) A = 18 - w^2

Answer 1

Perimeter=2(l+w)
36=2(l+w)
(l+w)=18
l=18-w

area of a rectangle=w*l

put value of l here
Area=w*(18-w)
Area=18w-w^2