Step-by-step explanation:
Area of a Triangle:
bh/2
8 ft is the given height
6 ft is the given base (or width)
(8)(6)/2
48/2
= 24 ft²
In addition to this, we will have to find the area of the semicircle.
Area of a Semicircle:
πr²/2
The question tells us to use 3.14 in place of π.
3.14r²/2
The diameter is 8 ft as it is given to us in the diagram, but in the formula we would have use the radius, and because the radius ia half of the diameter we will divide 8 by 2.
8/2
= 4
3.14(4)²/2
Solve...
3.14(16)/2
50.24/2
= 25.12 ft²
Now that we have found the area of both the triangle and the semicircle, we can add them together to find the area of the figure.
24 ft² + 25.12 ft²
= 49.12 ft²
Our final answer is A=49.12 ft² because it is already in the hundredths place.
