Question

Help me solve this pretty please. Doesn't make sense to me

Answer 1

`A \approx 421.1`

Explanation:

We can split this figure into two simpler shapes:

• a parallelogram and
• a semicircle

First, we can find the area of the parallelogram.

`A_\square = b \cdot h`

`A_\square = 24 \cdot 11`

`A_\square = 264`

Next, we can find the area of the semicircle. We know that its diameter (
`2r`) is 20 because opposite sides of a parallelogram are the same length. Therefore, its radius is
`20 / 2 = 10`.

`A_\circ = (1)/(2) \cdot \pi r^2`

`A_\circ = (1)/(2) \cdot \pi (10)^2`

`A_\circ = (1)/(2) \cdot 100 \pi`

`A_\circ = 50\pi`

Finally, we can find the area of the entire figure by adding the areas of each of its parts.

`A = A_\square + A_\circ`

`A= 264 + 50\pi`

`\boxed{A \approx 421.1}`