One of the sides of the rectangle is 15 times larger than the other and its perimeter is 19.2 cm. Find the area of the rectangle.

Let’s denote by the unknown variable x centimeters – one side of the rectangle,

Then 15x centimeters is the second side of the rectangle,

Knowing the perimeter, we compose the equation:

2 * (x + 15x) = 19.2;

32x = 19.2;

x = 0.6 centimeters – one side of the rectangle,

0.6 * 15 = 9 centimeters – the second side of the rectangle,

The area of a rectangle is equal to the product of its sides: 0.6 * 9 = 5.4 square centimeters.

Answer: The area of the rectangle is 5.4 square centimeters.