The perimeter of the rectangle is 64cm and one of the sides is 3 times larger. What is the area of the rectangle?

The formula for determining the perimeter of a rectangle corresponds to:

P = 2a + 2b.

According to the condition of the assignment, this value for such a figure is 64 cm, and one side is 3 times larger than the other. Let’s write the equation:

3 * 2x + 2x = 64.

Let’s perform actions with the coefficients of the variable on the left side of the equation:

8x = 64.

To find the second factor, divide the product by the first:

x = 64: 8 = 8.

Therefore, width = 8 cm and length = 3 * 8 = 24 cm.

Let’s define the area:

S = a * b = 24 * 8 = 192 cm².