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Adding a "Perimeter" to a Shape

Attachment 18905

**Assumptions**

I have a piece of fabric shaped like the blue shape and its measurements are (in inches):

a = 25

b = 18.384

c = 18.384

**Problem**

The green shape represents a "perimeter" piece of fabric six inches wide that I want to attach to the blue shape. What are the measurements of x, y, and z?

My brain hurts from trying to solve this problem over the past couple days. Thanks for your help :-)

Adding a "Perimeter" to a Shape

Thank you for the quick replies :-)

The length of the base of the inner trapezoid (the blue shape in my diagram) is 51 inches.