Answer:
[tex]\frac{225}{4} \pi+375[/tex] ft squared
Step-by-step explanation:
This figure is just made up of two semicircles, which add up to one circle, and 1 rectangle.
The rectangle area is easy; it's just length times width: 15 * 25 = 375.
Now, for the two semicircles. Since they just add up to 1 circle, we can find the area of a circle with radius (15/2). The area of a circle is: [tex]\pi r^{2}[/tex] , where r is the radius. So: A = [tex]\pi (\frac{15}{2} )^2=\frac{225}{4} \pi[/tex].
Finally, we add these two areas together: [tex]\frac{225}{4} \pi[/tex] + 375.
Thus, the answer is [tex]\frac{225}{4} \pi+375[/tex] ft squared.
Hope this helps!
