# The perimeter of the rectangle is 130 cm, and its length is 25 cm more than the width

The perimeter of the rectangle is 130 cm, and its length is 25 cm more than the width, find the perimeter of a square with the same area.

The perimeter of a rectangle is calculated as the sum of its length and width times two.

Let the width be x cm, then the length is (x + 25) cm.The equation is:

2 * (x + x + 25) = 130.

x + x + 25 = 130: 2.

x + x + 25 = 65.

2x = 65 – 25.

2x = 40.

x = 40: 2.

x = 20.

For x, we took the width of the rectangle. Let’s calculate the length of the rectangle:

1) 20 + 25 = 45 cm.

2) Calculate the area of ​​a rectangle using the formula the product of its length and width:

45 * 20 = 900 cm2

3) by condition, the area of ​​the square is 900 cm2

We calculate the length of the side of the square using the formula square root of the area value:

√900 = 30 cm.

Answer: the length of the side of the square is 30 cm.

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