Question

Help!!!!!!!!!!!! 30 pointsssss​

Answer 1

`\huge\boxed{31.25\ m^2}`

Explanation:

To find the area of the shaded region, we want to find the area of the box and the circle. We then want to subtract the circle area from the box.

The area of the box will be
`lw`, since the length is 10 and the width is 5, the area is
`10\cdot 5 = 50`

The area of a circle is represented as
`\pi r^2`. Since we're told to use 3 for pi, the new formula is
`3 \cdot (r^2)`

We know that the diameter of the circle is 5m since that's the length of the side that runs through the circle.

Radius is half the diameter, so the radius is
`5 / 2 = 2.5`.

Plugging into the equation:

`3 \cdot (2.5^2)\\\\3 \cdot 6.25\\\\18.75`

And subtract that from 50.

`50-18.75 = 31.25`

Hope this helped!