The perimeter of the square is 600 cm, find the perimeter of an equilateral triangle

| April 3, 2021 | education

The perimeter of the square is 600 cm, find the perimeter of an equilateral triangle with a side length equal to the side length of the square.

Find the side length of this square.

Let us denote it by x.

According to the condition of the problem, the perimeter of this square is 600 cm

Since the perimeter of any square is equal to the side length of this square multiplied by 4, we can write the following equation:

4 * x = 600.

We solve the resulting equation and find the side length of this square:

x = 600/4;

x = 150 cm.

According to the condition of the problem, the side length of an equilateral triangle is equal to the side length of this square, therefore, the side length of an equilateral triangle is 150 cm.

The perimeter of any triangle is equal to the sum of the lengths of all three sides of this triangle, therefore, the perimeter P of this equilateral triangle is:

P = 150 + 150 + 150 = 450 cm.

Answer: the perimeter of this equilateral triangle is 450 cm.



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