The area of the rectangle is 96 cm2, find its sides, one of them is 4 cm less than the other.

Let us denote by a the length of that side of a given 4-gon, all four angles of which are 90 degrees, which has a shorter length.

Then the side that has the greatest length will be a + 4 centimeters.

In the initial data for this task, it is reported that the area of this geometric figure is 96 cm², therefore, we can draw up the following equation:

a * (a + 4) = 96,

solving which, we get:

a² + 4a – 96 = 0;

a = -2 ± √ (4 + 96) = -2 ± √100 = -2 ± 10;

a = -2 + 10 = 8 cm.

Finding the other side:

a + 4 = 8 + 4 = 12 cm.

Answer: 8 cm and 12 cm.