The length of the rectangle is 1m 5cm and the width is 7 times less.

The length of the rectangle is 1m 5cm and the width is 7 times less. Find the side of the square whose perimeter is equal to the perimeter of this rectangle.

We translate the length in cm: 1 m 5 cm = 105 cm.We find out the width, which is seven times less:
105: 7 = 15 cm
In the next action, we determine the perimeter of the rectangle:
P = 2 * a + 2 * b, where a and b are the sides of the figure. In this case, a = 105 cm, b = 15 cm.We substitute the values for a and b, we calculate:
P = 2 * 105 + 2 * 15 = 240 cm
Next, go to the side of the square. The peculiarity of the figure is the equality of the sides. Therefore, P = 4 * a, the sides are equal in length. Means:
a = P: 4
a = 240: 4 = 60 cm
Answer: 60 cm.