Model the following problem with a quadratic equation. Then solve.
Find the length of a side of a square with an area of 108 ft2.

6sqrt3

Step-by-step explanation:

To find the area of a square, we simply square the length of its side!

We can represent the length of the side by x; therefore, the area of the square would be x squared, or x^{2}.

Then, we solve!

x^{2} = 108, so we find the square root of 108.

108 = 2^2 * 3^3

So sqrt{2*2*3*3*3}

We can take the 2^2 and 3^2 out of the square root, so outside, it becomes 2 * 3, or 6.

The 3 is still inside the square root, leaving us with 6sqrt3.

Hope that helps!