The side length of the square game mat is 6.
The side length of the triangle game mat is 8.
What are the side lengths?
A square is a quadrilateral with four equal sides and four right angles. A square has two diagonal which bisect each other at right angles. The perimeter of a square is the distance round the square. The perimeter is the sum of the length of the four sides of the square.
Perimeter of a square = 4 x length of a side.
4 x (x + 3) = 4x + 12
An equilateral triangle is a three-sided polygon. The sum of angles in an equilateral triangle is 180 degrees. An equilateral triangle has three sides that are of equal length. The perimeter f an equilateral triangle is the sum of the length of its three sides.
Perimeter of an equilateral triangle = 3 x length of one side.
3 x (3x - 1) = 9x - 3
If the perimeter of the equilateral triangle and the square are equal, the two expressions for their perimeters would be equal.
9x - 3 = 4x + 12
To solve for x, take the following steps:
Combine similar terms: 9x - 4x = 12 + 3
Add similar terms together: 5x = 15
Divide both sides of the equation by 5: x = 15 / 5
x = 3
Side length of the square game mat = x + 3 = 3 + 3 = 6
Side length of the triangle game mat = 3x - 1 = (3 x 3) - 1 = 8
To learn more about squares, please check: https://brainly.com/question/9030544
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