A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 1500 yd of rope and floats. What dimensions of the rectangle will maximize the area? What is the 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)
A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 1500 yd of rope and floats. What dimensions of the rectangle will maximize the area? What is the 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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 1500 yd of rope and floats. What dimensions of the rectangle will
maximize the area? What is the 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 )
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