Answer:
275.81 ft²
Explanation:
So we need to find the area of this figure. First, break down the figure into two distinct shapes, a triangle and a semicircle. Form an area equation that includes these two formulas.
Area = Area of triangle + Area of Semicircle
Now translate this into numbers and variables.
A = (0.5)bh + (0.5)pi(r)²
The problem suggests we use 3.14 to represent pi.
b = 25 ft
h = 15 ft
r = 7.5 ft
So now rewrite the total area equation with our given values and simplify as much as possible.
A = (0.5)(25)(15) + (0.5)(3.14)(7.5)²
= 187.5 + 88.3125
= 275.8125 ft²
The problem statement asks for the answer rounded to the nearest hundredth, so the area if the figure is 275.81 ft².