A lfeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using $700$ yd of rope and floats. What dirnensions of the rectangle will maximute the area? What is the maximum area? $($Note that the shoreline is one side of the rectangle$)$

Let $x$ be the length of a sabe of the rectangle perpendicular to the shoreine. 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 shorler side of the rectangular region is $$

$$

The length of the longer sibe of the rectangular region is $$

$$

The maximum area of the rectangular region is $$

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