SOLVE USING PYTHON!

An enclosure consisting of a rectangle and semicircle is to be constructed with $200$ yards of fencing. A brick wall will be used for one of the sides, and $x$ denotes the sides of the rectangular part perpendicular to the wall, as shown below: $($Note: there will NOT be any fencing along the dashed line.$)($brick wall here$)$

$($a$)$ Find the formula for $A(x),$ the area of the enclosure for given side length $x$ in square yards.

$($b$)$ What should the length $x$ be to maximize the area of the enclosure?

$($c$)$ What is the maximum area of the enclosure?