Find the diagonal of a square if its area is 4.5.

It is known from the condition that the area of the square is 4.5. In order to find the diagonal of a square, let’s recall the formula for finding the area of a square through a diagonal.

So, in order to find the area of the square in turn of the diagonal, we will use the formula:

S = 1 / 2d ^ 2.

Substitute the known values into the formula and solve the resulting equation:

1 / 2d ^ 2 = 4.5;

Multiply both sides of the equation by 2 and get:

d ^ 2 = 4.5 * 2;

d ^ 2 = 9;

Take the square root of both sides of the equation and choose a positive value.

d = 3.

Answer: the diameter is 3.