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Solve the problem in stages:

  • Solve for the length of the triangle side.
Perimeter = sum of all the sides.

As equilateral, all sides equal so 3 x side_length = 90 in

side_length = 90in / 3 = 30in.

  • Pentagon side is triangle_side + 2in, thus Pentagon_side = 30in + 2in = 32in
  • There are 5 sides to a pentagon, each 32in long, so its perimeter is 5 x 32in = 160in.
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Q: The perimeter of an equilateral triangle is 90 inches If a pentagon were constructed with each side being 2 inches longer than each side of the triangle how many inches would the total perimeter of?
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