The perimeter of an equilateral triangle is 10 times the perimeter of a square whose side length is 3 cm

The perimeter of an equilateral triangle is 10 times the perimeter of a square whose side length is 3 cm. Find the side length of this triangle

Find the perimeter of this square.

According to the condition of the problem, the side length of this square is 3 cm.

The perimeter of any square is equal to the side length of this square multiplied by 4, therefore, the perimeter of this square is 4 * 4 = 16 cm.

Find the perimeter of this equilateral.

According to the condition of the problem, the perimeter of this equilateral triangle is 10 times the perimeter of the square, therefore, the perimeter of the equilateral triangle is 16 * 10 = 160 cm.

Find the length of the side of this equilateral triangle.

Let us denote it by x.

The perimeter of any triangle is equal to the sum of the lengths of all three sides of this triangle, therefore, we can draw up the following equation:

x + x + x = 160.

We solve the resulting equation:

3x = 160;

x = 160/3;

x = 53 1/3 cm.

Answer: The length of the side of this equilateral triangle is 53 1/3 cm.