Question

David has available 160 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle. (b) For what value of W is the area largest? (c) What is the maximum area? (a) A(W)=

Answer 1

(a) A(W) = 80W - W^2 (b) The area is largest when W = 40. (c) The maximum area is 1600 square yards