If the numerical values of the perimeter and the area of a square are equal, what are the dimentions of the square?

Let the side be x.

Then
x² = 4x
x(x-4)=0
Solve for x.

X=4

Correct!

To find the dimensions of the square, we need to set up an equation using the information given. Let's denote the side length of the square as "s".

The formula for the perimeter of a square is given by: perimeter = 4 * side length.

The formula for the area of a square is given by: area = side length * side length.

According to the problem, the numerical values of the perimeter and the area are equal. So, we can set up the equation as follows:

4s = s * s

Now, let's solve this equation to find the dimensions of the square:

Divide both sides of the equation by "s":

4 = s

Therefore, the side length of the square is 4 units.

So, the dimensions of the square are 4 units by 4 units.