Answer:
Area of the figure = 171 in²
Step-by-step explanation:
Composite figure given in the picture comprises of three figures, two right triangles and one rectangle.
Area of the composite figure = Area of two right triangles + Area of the rectangle at the center
Area of one right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(12)(9)[/tex]
= 54 in²
Area of the rectangle = Length × Width
= 7 × 9
= 63 in²
Area of the composite figure = 2(54) + 63
= 108 + 63
= 171 in²
