Question 666467
Establish variables
x = side of triangle
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Known
p(triangle) = 3s
p(square) = 4s
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Given
s(square) = x-5
p(square) = 3x - 7
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Using the sides of the square and the perimeter of the square set equal to each other, solve for x
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4(x-5) = 3x - 7
Distribute the 4
4x - 20 = 3x - 7
Combine like terms
4x - 3x = -7 + 20
{{{highlight_green(x = 13)}}}cm for the sides of the triangle
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{{{x-5 = 13 - 5 = highlight_green(8)}}}cm for the sides of the square
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