# The perimeter of a square with a side of 9.65 cm is equal to the perimeter of a rectangle

July 23, 2021 | education

| **The perimeter of a square with a side of 9.65 cm is equal to the perimeter of a rectangle with a width of 8.7 cm. Find the length of the rectangle.**

1) First, we find the perimeter of this square. It is known that the perimeter is the sum of the lengths of all sides. So, to find the perimeter of a given square, you need to multiply this side of the square by 4, since all sides of a square are equal.

The perimeter of this square = 4 * 9.65 cm = 38.6 cm.

2) It is known that the perimeter of this square is equal to the perimeter of a rectangle whose width is 8.7.

3) So, we will find the length of the given rectangle.

17.4 + 2 * length = 38.6;

2 * length = 21.2;

length = 10.6.

Answer: The length of the rectangle is 10.6 cm.

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