Answer:
53.12 sq ft
Step-by-step explanation:
For triangle:
Base (b) = 8 ft
Height (h) = 7 ft
For semicircle:
Radius (r) = 8/2 = 4 ft
Area of the composite figure = Area of triangle + Area of semicircle.
[tex] = \frac{1}{2} bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} (8)(7) + \frac{1}{2} (3.14)(4)^{2} \\ \\ = (4)(7) + (3.14)(8) \\ \\ = 28 + 25.12 \\ \\ = 53.12 \: {ft}^{2} [/tex]
