Answer:
c. 952.4 in²
Step-by-step explanation:
The figure can be decomposed into a square, a trapezoid and a semicircle
Find the area of each to determine the area of the figure.
✔️Area of square = s²
s = 13 in
Area of square = 13² = 169 in²
✔️Area of trapezoid = ½(a + b)h
a = 13 in
b = 30 in
h = 20 in
Area of trapezoid = ½(13 + 30)20
= 430 in²
✔️Area of semicircle = ½(πr²)
r = ½(30) = 15 in
Area = ½(π*15²)
Area ≈ 353.4 in²
✅Area of the figure = 169 + 430 + 353.4
= 952.4 in²
