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