The perimeter of the rectangle is 20cm. find its sides if you know that the area of the rectangle is 24cm ^ 2.

The perimeter of a rectangle is twice the sum of its sides.

In this case, the sum of the length and width of the rectangle will be:

20/2 = 10 cm.

We know that the area of a rectangle is 24 cm ^ 2. Since the area is the product of two sides, the values of the sides of the figure can be equal:

2 * 12 = 24 cm ^ 2. (Not suitable because the sum of the sides is more than 10 cm).

4 * 6 = 24 cm ^ 2.

8 * 3 = 24 cm ^ 2. (Not suitable because the sum of the sides is more than 10 cm).

Answer: The length of the rectangle is 6 cm, the width of the rectangle is 4 cm.