Find the area of the figure to the nearest thousandth

Answer:
[tex]236.715\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The area of the figure consists of a rectangle and two half-circles.
Area of rectangle: [tex]15\cdot 4=60[/tex]
Area of two half-circles: [tex]2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764[/tex]
Thus, the total area of the figure is
[tex]60+ 176.714586764\approx \boxed{236.715}[/tex]