The quadrangular plot is fenced with a 120m long fence. The two sides of the plot are equal to each other

The quadrangular plot is fenced with a 120m long fence. The two sides of the plot are equal to each other, and the third and fourth sides are larger than these sides by 3m and 5m, respectively. What is the area of a square area whose side is equal to the largest side of the quadrangle.

1. The first and second sides of the quadrilateral are equal to x m.
2. The third side of the quadrilateral is x + 3 m.
3. The fourth side of the quadrilateral is x + 5 m.
4. Let’s compose and solve the equation:
x + x + x + 3 + x + 5 = 120;
4x + 8 = 120;
4x = 120 – 8;
4x = 112;
x = 112: 4;
x = 28.
5.28 + 5 = 33 (m) – the longest side of the site.
6. The area of the square is S = a * a.
7.33 * 33 = 1089 (m²) – square area.
Answer: The square plot has an area of 1089 m².