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?

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?

matty · Accepted Answer

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

matty · Answer

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

oobleck · Answer

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

Emma · Answer

OMG Thank you soooo much!!

UNKNOW · Answer

THINK U SO MUCH IN KNOW HOW TO DO THIS

hi · Answer

hiii thanks! I learnt alot!! <3 :)

Roblox · Answer

OMG THX SO MUCH NOW IK HOW TO DO IT! OMG <3 :D