Question

A regular pentagon and an equilateral triangle have the same perimeter.

The perimeter of the pentagon is 5(5x + 2) inches.
3x
The perimeter of the triangle is 4 (x - 2) inches.
What is the perimeter of each figure?

Answer 1

THE ANSWER IS 40

Explanation:

5(5x+2)=4(x-2)

distributive property gives you 5x+10=4x-8 add eight to both sides

5x+18=4x subtract 2.55x from both sides. 18=1.5x

simplify this means that x=12. now we plug x back I to the previous two equations and we get 40. so the perimeter of the Pentagon and triangle are 40