Diana 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) = (b) The area is largest for W = yards. (Simplify your answer.) (c) The maximum area is square yards. (Simplify your answer.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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Please help me answer these questions.

Diana 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) =
(b) The area is largest for W =
yards.
(Simplify your answer.)
(c) The maximum area is square yards.
(Simplify your answer.)
Transcribed Image Text:Diana 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) = (b) The area is largest for W = yards. (Simplify your answer.) (c) The maximum area is square yards. (Simplify your answer.)
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