SOLUTION: 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 leng

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Question 226800: 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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 = side of the square
then
(s+6) = side of the triangle
:
Sq perimeter = Tri perimeter
4s = 3(s+6)
4s = 3s + 18
4s - 3s = 18
s = 18 cm is the side of the square
:
:
Check solution
The side of the triangle = 24 cm
4(18) = 3(24)