Question

Find the area of the figure to the nearest hundredth.
Step by step please!

Answer 1

`\approx 31.63 \: {ft}^(2)`

Explanation:

Area of the figure = 2 times the area of one semicircle with radius (5/2 = 2.5) 2.5 ft + Area of triangle with base 6 ft and height 4 ft.

`= 2 * (1)/(2) \pi {r}^(2) + (1)/(2) bh \\ \\ = 3.14 * {(2.5)}^(2) + (1)/(2) * 6 * 4 \\ \\ = 3.14 * 6.25 + 3 * 4 \\ \\ = 19.625 + 12 \\ \\ = 31.625 \\ \\ \approx 31.63 \: {ft}^(2)`