A triangle and a square have the same perimeters. The sides of the triangle are 6.6 cm, 8.4 cm

| September 7, 2021 | education

A triangle and a square have the same perimeters. The sides of the triangle are 6.6 cm, 8.4 cm and 9.4 cm. Which is the side of the square.

Find the perimeter of this triangle.
According to the condition of the problem, the lengths of the sides of this triangle are 6.6 cm, 8.4 cm and 9.4 cm.Since the perimeter of any triangle is equal to the sum of the lengths of all three sides of this triangle, the perimeter p of this triangle is:
p = 6.6 + 8.4 + 9.4 = 24.4 cm.
Find what is the length of the side of the square.
We denote it by x.
According to the condition of the problem, the perimeter of this square is equal to the perimeter of the triangle. Since the perimeter is the length of the side of this square, multiplied by 4, we can write the following equation:
4 * x = 24.4.
We solve the resulting equation:
x = 24.4 / 4;
x = 6.1 cm.

Answer: the length of the side of the square is 6.1 cm.



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