Question

What is the answer to this please show work

Answer 1

The picture contains two geometric objects: semicircle and right triangle

First, find the area of semicircle
This is the formula for area of semicircle
a = 1/2 × area of circle
a = 1/2 × π × r²

Before we find the area, we should determine the value of r. Given from the question that the diameter is equals to 8 m. Radius (r) is half of diameter (d)
r = 1/2 d
r = 1/2 × 8
r = 4 m

Caculate the area
a = 1/2 × π × r²
a = 1/2 × 3.14 × 4²
a = 1/2 × 3.14 × 16
a = 1/2 × 50.24
a = 25.12 m²

Second, find the area of the right triangle
The formula is
a = 1/2 × b × h

Given from the question that the base (b) is 12 m, and the height (h) is 8 m.

Calculate the area, input the value of b and h to the formula
a = 1/2 × b × h
a = 1/2 × 12 × 8
a = 1/2 × 96
a = 48 m²

Third, sum both area
a = area of semicircle + area of right triangle
a = 25.12 + 48
a = 73.12 m²

Solution:
The area is 73.12 m²