(Solved): Suppose that \( 299 \mathrm{ft} \) of fencing are used to enclose a corral in the shape of a rectan ...

Suppose that \( 299 \mathrm{ft} \) of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as the following figure: Find the dimensions of the corral with maximum area. \[ \begin{array}{l} x=\text { th. } \\ y=\quad \mathrm{ft} \text {. } \\ \end{array} \]