Answer
The length of each side of the square is 18 cm.
Work Step by Step
Let X represent the length of one side of the square.
One side of the equilateral triangle is 6 centimeters longer than the side of the square, which equals X + 6.
The perimeter of a triangle is equal to the sum of all its sides.
X+ 6 + X + 6 + X + 6 = 3X + 18
The perimeter of a square can be found by using the formula: P = 4s
4 $\times$ X = 4X
Since the perimeters are the same, we can set up the following equation:
3X + 18 = 4X
18 = 4X - 3X
X = 18
The length of each side of the square is 18.
