The perimeter of the rectangle is 38.6 and one part of it is 13.8 cm, calculate the area of the rectangle.

It is known from the condition that the perimeter of the rectangle is 38.6 cm, and one of its sides is 13.8 cm. In order to find the area of the rectangle, let’s first of all find the length of the rectangle.

To do this, we will use the formula for finding the perimeter.

P = 2 (a + b);

2 (13.8 + x) = 38.6;

13.8 + x = 19.3;

x = 19.3-13.8;

x = 5.5 cm rectangle length.

We will search for the area of the rectangle using the following formula:

S = a * b;

We just have to substitute the known values and calculate:

S = 13.8 * 5.5 = 75.9 cm2.