Question 57641
Suppose that a square and an equilateral triangle have the same perimeter.  Each side of the equilateral triangle is 6 centimeters longer than each side of the square. Find the length of each side of the square.
:
Let s = one side of the square; then (s+6) = 1 side of the triangle
:
Square perimeter = Triangle perimeter
4s = 3(s+6)
4s = 3s + 18
4s - 3s = 18
s = 18
:
:
Check 4(18) = 3(24)