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

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

Let’s find the width of the rectangle, provided that it is 3 times less than its length, equal to 2 dm 4 cm (24 cm, assuming that 1 dm = 10 cm):

24: 3 = 8 cm.

The perimeter of the rectangle is calculated using the formula:

P = 2a + 2b.

Substitute the known values and write the expression:

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

We know that all sides of the square are equal, its P corresponds to:

P = 4a = 64 cm.

Let us express the side. The second factor is the quotient of the first one:

a = 64: 4 = 16 cm.