Question

HELP PLSSSS MATH IS NOT MY THING :(

Picture included:)

Answer 1

`26.85`

inches.

Explanation:

First, let us split this figure into two parts, a parallelogram and a semi-circle. The perimeter of the parallelogram will be

`5 + 7 + 7 = 19`

inches. We do not add the additional 5 inches due to it being stuck to the semi-circle, and hence that additional 5 inches is not part of the perimeter.

To find the curved perimeter of the semi-circle, we use the formula

`\pi d`

and then divide it by two as the above formula is used for a whole circle. The diameter is 5 inches and thus the curved perimeter is

`(1)/(2) \pi(5) = 2.5\pi`

The total perimeter is then

`19 + 2.5\pi`

Using a calculator, we get

`26.85398...`

and the answer is

`26.85`

inches when corrected to the nearest hundredth.