Diana has available 400 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) = yards. (Simplify your answer.) (b) The area is largest for W = (c) The maximum area is square yards. (Simplify your answer.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 5CA
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Diana has available 400 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 400 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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