Question

The perimeter of an equilateral triangle is 4 centimeters more than the perimeter of a square and the length of a side of the triangle is 8 centimeters more than the length of a side of the square. Find the length of a side of the equilateral triangle. (An equilateral triangle has three sides of the same length.)

Answer 1

length of side = 36 cm

let x be the side of the square then x + 8 is the side of the triangle

perimeter of square = 4x and

perimeter of triangle = 3( x + 8 ) + 4 = 3x + 24 + 4 = 3x + 28

equating the perimeters

4x = 3x + 28 ( subtract 3x from both sides )

x = 28

length of side of triangle = x + 8 = 28 + 8 = 36 cm

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Answer 2

length of side = 36 cm

let x be the side of the square then x + 8 is the side of the triangle

perimeter of square = 4x and

perimeter of triangle = 3( x + 8 ) + 4 = 3x + 24 + 4 = 3x + 28

equating the perimeters

4x = 3x + 28 ( subtract 3x from both sides )

x = 28

length of side of triangle = x + 8 = 28 + 8 = 36 cm