0 K A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 900 yd of rope and floats. What dimensions of the rec maximum area? (Note that the shoreline is one side of the rectangle.) Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x. A(x) = (Type an expression using x as the variable.) The length of the shorter side of the rectangular region is The length of the longer side of the rectangular region is The maximum area of the rectangular region is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 105E
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A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 900 yd of rope and floats. What dimensions of the rectangle will maximize the area? What is the
K maximum area? (Note that the shoreline is one side of the rectangle.)
Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x.
A(x) =
(Type an expression using x as the variable.)
The length of the shorter side of the rectangular region is
The length of the longer side of the rectangular region is
The maximum area of the rectangular region is
Transcribed Image Text:A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 900 yd of rope and floats. What dimensions of the rectangle will maximize the area? What is the K maximum area? (Note that the shoreline is one side of the rectangle.) Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x. A(x) = (Type an expression using x as the variable.) The length of the shorter side of the rectangular region is The length of the longer side of the rectangular region is The maximum area of the rectangular region is
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