The perimeter of the rectangle is 24 cm, one of its sides is 2 times smaller than the other.

The perimeter of the rectangle is 24 cm, one of its sides is 2 times smaller than the other. which is the area of the rectangle.

Given:
The perimeter P of the rectangle is 24 centimeters.
One of its sides is 2 times smaller than the other.

Let the width b of the rectangle be x centimeters.
Then the length a will be 2 centimeters.
Let’s make the equation:
x + x + 2x + 2x = 24;
6x = 24;
x = 24: 6;
x = 4.
Width b is 4 centimeters.
Let’s find the length a of the rectangle:
a = 2 * 4 = 8 centimeters.
We calculate the area of this figure using the formula S = a * b:
S = a * b = 8 * 4 = 32 cm2.
Answer: 32 cm2.