The perimeter of the rectangle is 36.8 cm; one of its sides is 13.8 cm. Calculate the area of the rectangle.

It is known from the condition that the perimeter of the rectangle is 36.8 cm. It is also known that one of its sides is 13.8 cm. In order to calculate the area of the rectangle, first of all, we will find the length of the second side of the rectangle.

To do this, remember the formula for finding the perimeter.

P = 2 (a + b);

Substitute the known values and solve the resulting equation:

2 (13.8 + x) = 36.8;

13.8 + x = 36.8: 2;

13.8 + x = 18.4;

x = 18.4 – 13.8;

x = 4.6 cm second side of the rectangle.

We calculate the area using the following formula:

S = a * b = 13.8 * 4.6 = 63.48 cm2.