Question

Find the perimeter of the polygon.106The perimeter of the polygon is17

Answer 1

Given:

The polygonal with inscribed circle and some measurements.

Required:

The perimeter of the polygon.

Step-by-step explanation:

Tangent theorem:

Two different tangents drawn from an external point to the circle have equal length.

So, lets again draw given figure

Perimeter is the distance around the edge of a shape.

So, perimeter of polygon will be sum of all edges.

That is,

`\begin{gathered} Perimeter(P)=AB+BC+CD+DA \\ P=16+17+17+16 \\ P=66 \end{gathered}`

Answer:

The perimeter of polygon is 66.