Answer:
b. 869.6 ft²
Step-by-step explanation:
The figure is composed of an equilateral triangle and a trapezoid
Therefore,
Area of the figure = area of the triangle + area of the trapezoid
✔️Area of triangle = ½*a*b*Sin C
Where
a = 22 ft
b = 22 ft
C = 60° (mall angles of an equilateral triangle measures 60°)
Area = ½*22*22*Sin 60°
Area = 209.58 ft²
✔️Area of trapezoid = ½(a + b)h
a = 22 ft
b = 38 ft
h = 22 ft
Area = ½(22 + 38)22
Area = ½(60)22
Area = 960 ft²
✔️Area of the figure = 209.58 + 660 = 869.58 ≈ 869.6 ft²
