Answer:
6.28 + 24 + 3 + 2 = 35.28 sq. units
Explanation:
The screenshot is how I split it. (A semicircle with a radius of 2, a trapezoid (base a: 5, base b: 7, height 4), and two triangles (b1: 3, h1: 2; b2: 4, h2: 1)
To find the area of a semicircle, use the formula πr²/2. I'll use 3.14 for pi.
3.14(2²)/2
Square 2 to get 4.
3.14(4)/2
Multiply 3.14 by 4 to get 12.56.
12.56/2
Divide 12.56 by 2 to get 6.28
The semicircle is 6.28 units².
To find the area of a trapezoid, use the formula (a+b)h/2.
(5 + 7) * 4/2
Add 5 and 7 to get 12.
(12 * 4)/2
Multiply 12 by 4 to get 48.
48/2
Divide 48 by 2 to get 24.
The trapezoid is 24 units².
For the triangles, simply use this: bh/2
3 * 2 / 2
The 2's cancel out, so you're simply left with the first triangle being 3 units².
4 * 1 / 2
This really just becomes 4/2 as 4 * 1 is just 4.
4/2
Divide 4 by 2 to get 2.
The second triangle is 2 units².
Now that we know the areas of the four figures, add them together.
6.28 + 24 + 3 + 2
6.28 + 27 + 2
6.28 + 29
The area of the figure is 35.28 units².