Posted by **Pat** on Thursday, October 28, 2010 at 8:19pm.

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 -
**jai**, Thursday, October 28, 2010 at 9:41pm
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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