One side of the rectangle is 3 times larger than the other, and its perimeter is 16 cm.

One side of the rectangle is 3 times larger than the other, and its perimeter is 16 cm. What is the larger side of the rectangle?

Let’s denote by x the length of the longer side of this rectangle in centimeters.

According to the condition of the problem, one side of this rectangle is 3 times larger than the other, therefore, the length of the smaller side of this rectangle is x / 3 cm.

It is also known that the perimeter of this rectangle is 16 cm, therefore, we can draw up the following equation:

2 * (x + x / 3) = 16.

We solve the resulting equation:

2 * (4x / 3) = 16;

8x / 3 = 16;

x = 16 * 3/8;

x = 2 * 3;

x = 6 cm.

Answer: the length of the longer side is 6 cm.