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

| May 29, 2021 | education

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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