The area of the rectangle is 24cm. One side is 2cm smaller than the other. Find the sides of the rectangle.

It is known from the condition that the area of the rectangle is 24 cm2. It is also known that one of the sides is 2 cm smaller than the other. In order to find the sides of the rectangle, we compose and solve the equation.

Let us denote one of the sides by the variable x, then the second can be written as (x – 2).

Let’s compose and solve the equation using the area of a square formula:

S = a * b;

x (x – 2) = 24;

x ^ 2 – 2x – 24 = 0;

We solve the quadratic equation:

D = 4 + 96 = 100;

x1 = (2 + 10) / 2 = 6;

x2 = (2 – 10) / 2 = -4 root does not fit.

One of the sides is 6 cm, and the other is 6 – 2 = 4 cm.