Question

Find the perimeter of the given polygon. Assume that lines which appear to be tangent are tangent.

***Must show ALL work/steps for credit! Provide an explanation with your steps as well!

Answer 1

Perimeter = 57.8

Explanation:

2 tangents have the same length.

The perimeter (sum of all sides of the figure) would be the sum of 2 lengths on each side. Let's break down the 3 sides of the figure into "left", "right", and "top".

Right side:

Lower part = 14 (given)

Upper part = 21.4 - 14 = 7.4 (found)

Left side:

Lower part = 14 (tangents are same length)

Upper part = 7.5 (tangents are same)

Top Part:

Left = 7.5 (given)

Right = 7.4 (found and tangent same length)

Now we sum all up to get perimeter:

Perimeter = 14 + 7.4 + 14 + 7.5 + 7.5 + 7.4 = 57.8