The length of the rectangle is 2dm 4cm, and the width is 3 times less. Find the side

The length of the rectangle is 2dm 4cm, and the width is 3 times less. Find the side of the square if its perimeter is equal to the perimeter of this rectangle.

Let’s find the width of the rectangle, provided that its length is 3 times longer and is 2 dm 4 cm (24 cm, since 1 dm = 10 cm):

24: 3 = 8 cm.

The perimeter of such a figure is calculated by the formula:

P = 2a + 2b = 2 * 24 + 2 * 8 = 48 + 16 = 64 cm.

All sides of a square are equal, and their sum is determined by the formula:

P = 4a.

If its perimeter = 64 cm, then the side:

a = P: 4 = 64: 4 = 16 cm.