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 - w2
b. A = 18w - w2
c. A = 36 - w2
d. A = 18 - w2

Answer 1

let the length be l
let the width be w
so 2l + 2w = 36
l + w = 18
l = 18-w

area = wl
= w(18-w)
= 18w - w^2