Question

I need help ASAP solving this!!​

Answer 1

The perimeter of the polygon is 48

Explanation:

Given:
`\angle B \cong \angle D`

Step 1: To find the the lengths of the polygon, the circle theorem states that, "Two tangents from an external point to a circle are always equal in length".

Thus, the length of the line segment
`A B=5+6=11`

The length of the line segment
`B C=6+7=13`

Since,
`\angle B \cong \angle D`,

The length of the line segment
`C D=7+6=13`

The length of the line segment
`D A=5+6=11`

Step 2: To find the perimeter of the polygon, add the length of the line segment.

`\begin{aligned}\text {Perimeter} &=A B+B C+C D+D A \\&=11+13+13+11 \\&=48\end{aligned}`

Thus, the perimeter of the polygon is 48.