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The side of a square is 10 meters longer than the side of an equilateral triangle. The perimeter of the sqaure is 3 times the perimeter of the triangle. Find the length of each side of the triangle.

  • Math -

    represent unknowns using variables:
    let x = length of a side of equilateral triangle
    let x+10 = length of a side of square
    *recall that perimeter of any polygon is the sum of the lengths of its sides,,
    since square has 4 sides with equal lengths, and equilateral triangle has 3 sides with equal lengths:
    P,square=4(x+10)
    P,triangle=3x
    thus:
    4(x+10) = 3*(3x)

    now simplify this, and solve for x.

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