The perimeter of the rectangle is 20 cm. Find its sides if you know that the area of the rectangle is 24 cm2.

Given:
The perimeter of the rectangle is 20 centimeters.
The area of the rectangle is 24 centimeters squared.
The sides of the rectangle are?
Let’s denote the sides of the rectangle a and b.
Then, the perimeter is: 2 (a + b) = 20.
And the area is equal to: a * b = 24, hence a = 24 / b.
Substitute the value for a into the equation 2 (a + b) = 20.
We get 2 (24 / b + b) = 20
24 / b + b = 20/2.
24 / b + b = 10
Multiplying both sides of the equation by b:
24 + b ^ 2 = 10b.
c ^ 2-10b + 24 = 0.
b1 + b2 = 10.
b1 * b2 = 24.
This equation has 2 roots (4.6), respectively, the sides of the rectangle = 4 and 6 centimeters.
Answer: the sides of the rectangle are 4 and 6 cm, respectively.