Question

A regular pentagon and an equilateral triangle have the same perimeter. The perimeter of the pentagon is 5 (1/2x +2) inches. The perimeter of the triangle is 4(x-2) inches. What is the perimeter of each figure?

Answer 1

so 5(.5x + 2) = 4(x-2)
distributive property gives you
2.5x+10=4x-8
add eight to both sides
2.5X+18=4x
Subtract 2.5x from both sides.
18=1.5x
Simplifying this means that x=12. Now we plug x back into the previous two equations and we get 40. So the perimeter of the pentagon and triangle are 40

Answer 2

sorry I’m not very great at explaining the process.

Answer 3

well, they have the same perimeter, so

5(1/2 x + 2) = 4(x-2)
x = 12
...

Answer 4

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Answer 5

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Answer 6

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Answer 7

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