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!

Find the perimeter of the given polygon Assume that lines which appear to be tangent are tangent Must show ALL worksteps for credit Provide an explanation with class=

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Answer:

Perimeter = 57.8

Step-by-step 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