Diana has 520 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) = 260w-w²(b) The area is largest for W = 130 yards.(Simplify your answer.)(c) The maximum area is 16900 square yards.(Simplify your answer.)