Find the smaller side of the rectangle if you know that its perimeter is 36 cm, and the larger side

Find the smaller side of the rectangle if you know that its perimeter is 36 cm, and the larger side is three times the smaller?

Let x cm be the smaller side of the rectangle. Then (x * 3) cm is the large side of the rectangle.

The perimeter of a rectangle is found as the doubled sum of its sides. The general formula looks like this:

P = 2 * (a + b) – where, a and b are the sides of the rectangle.

By the condition of the problem, P = 36 cm and one side is three times larger than the other. Let’s substitute:

36 = 2 * (x + 3 * x);

36 = 8 * x;

x = 4.5.

Answer: The length of the smaller side of the rectangle is 4.5 cm.