Find the area of a square-shaped plot if its perimeter is 36 meters.

We are given a square-shaped plot, which means that we are dealing with a square.
1) Knowing the perimeter of the square, we find its side.
A square is a quadrangle in which all sides are equal.
The perimeter of any geometric shape is the sum of the lengths of all sides. Let’s write the formula for the perimeter of the square:
P = 4 × a,
where P is the perimeter of the square, and is the length of the side of the square.
From the formula for the perimeter, we find the side:
a = P: 4.
a = 36: 4 = 9 m.
2) Find the area of ​​the square. Let us denote the area of ​​the square by the letter S, and the side by the letter a. Let’s write a formula for the area of ​​a square:
S = a².
S = 9² = 81 m².
Answer: the area of ​​a square-shaped plot is 81 m².