Question

Find the area of the composite figurep

Answer 1

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.

$= \frac{1}{2} bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} (8)(7) + \frac{1}{2} (3.14)(4)^{2} \\ \\ = (4)(7) + (3.14)(8) \\ \\ = 28 + 25.12 \\ \\ = 53.12 \: {ft}^{2}$