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?
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
well, they have the same perimeter, so
5(1/2 x + 2) = 4(x-2)
x = 12
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