Question

That moment when you realize you don't know anything

Answer 1

Answer:

6.28 + 24 + 3 + 2 = 35.28 sq. units

Step-by-step 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.