Answer:
180 ft²
Step-by-step explanation:
The figure is composed of 2 triangles and a rectangle between them
Calculate area of triangle on left
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height ), thus
A = [tex]\frac{1}{2}[/tex] × 9 × 6 = 4.5 × 6 = 27 ft²
Area of rectangle = 12 × 9 = 108 ft²
Calculate the area of the triangle on the right
A = [tex]\frac{1}{2}[/tex] × 9 × 10 = 4.5 × 10 = 45 ft²
area of composite figure = 27 + 108 + 45 = 180 ft²
