Find the perimeter of a rectangular area of 192 m squared, if one of the sides is 4 m larger than the other.

Let’s denote the length of one side of the segment through the variable x.

Therefore, the second side of the plot will be equal to (x + 4).

Knowing that its area is 192, we draw up an equation and determine the lengths of the sides of this section:

x (x + 4) = 192;

x ^ 2 + 4x – 192 = 0;

D = 16 – 4 (-192) = 784 = 28 ^ 2;

x1 = (- 4 + 28) / 2 = 12;

x2 = (-4 – 28) / 2 = -16;

12 + 4 = 16.

Determine the perimeter of the site, knowing that by definition it is equal to twice the sum of its length and its width:

2 * (12 + 16) = 56.

Answer: The perimeter of the plot is 56 cm.