SOLUTION: The perimeter of a equilateral triangle is 13 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side

Algebra ->  Triangles -> SOLUTION: The perimeter of a equilateral triangle is 13 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side      Log On


   

Question 386390: The perimeter of a equilateral triangle is 13 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle.
Answer by mananth(16946) About Me  (Show Source):
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The perimeter of a equilateral triangle is 13 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle.
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square side = x
triangle side = x+6
..
square perimeter = 4x
triangle perimeter = 3(x+6)
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3(x+6)=4x+13
3x+18=4x+13
add -4x to both sides
-x+18=13
add -18 to both sides
-x=-18+13
-x=-5
x=5 inches the square side
triangle side = x+6 = 11inches
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m.ananth@hotmail.ca