A rectangular piece of land with an area of 60 square meters surrounded by a 32-meter long fence. Find the sides of the site.

P = 2 * (a + b) is the formula for finding the perimeter of a rectangle, where a is the width, b is the length;
S = a * b – the formula for finding the area of a rectangle, where a – width, b – length;
Let x meters be the width of the site, then calculate the length of the site using the perimeter formula:
32 = 2 * (x + b), where b is the length of the section;
32: 2 = x + b;
16 = x + b;
b = 16 – x;
Since x meters wide, and 16 – x meters long, we calculate the area:
S = x * (16 – x);
Let’s compose and solve the equation:
x * (16 – x) = 60;
– x * x + 16 * x – 60 = 0;
– x * x + 10 * x + 6 * x – 60 = 0;
-x * (x – 10) + 6 * (x – 10) = 0;
(6 – x) * (x – 10) = 0;
6 – x = 0 or x – 10 = 0;
x = 6 or x = 10;
6 m wide, 10 m long.