SOLUTION: the side of a square is 5 centimeters shorter than the side of an equilateral triangle. The perimeter of the square is 7 centimeters less than the perimeter of the triangle. Fund t

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Question 666467: the side of a square is 5 centimeters shorter than the side of an equilateral triangle. The perimeter of the square is 7 centimeters less than the perimeter of the triangle. Fund the lengths of a side of the square and a side of the triangle.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Establish variables
x = side of triangle
...
Known
p(triangle) = 3s
p(square) = 4s
...
Given
s(square) = x-5
p(square) = 3x - 7
...
Using the sides of the square and the perimeter of the square set equal to each other, solve for x
...
4(x-5) = 3x - 7
Distribute the 4
4x - 20 = 3x - 7
Combine like terms
4x - 3x = -7 + 20
highlight_green%28x+=+13%29cm for the sides of the triangle
...
x-5+=+13+-+5+=+highlight_green%288%29cm for the sides of the square
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