Find the area of a rectangle if its perimeter is 20 and one side is 8 larger than the other.

From the condition, we know that the perimeter of the rectangle is 20, and we also know that one of the sides of the rectangle is 8 larger than the other.

In order to find the sides of the rectangle, we must solve the following equation.

Let’s denote by x the length of one side of the rectangle, and the other side is (x + 8).

Let’s remember the formula for finding the perimeter:

P = 2 (a + b);

2 (x + x + 8) = 20;

2x + 8 = 10;

2x = 10 – 8;

2x = 2;

x = 1 length of one side.

1 + 8 = 9 is the length of the second side.

We look for the area of the rectangle by the formula:

S = a * b = 1 * 9 = 9.