# Model the problem with a quadratic equation. Let x be the length of a side of the square? Find the length of a side of a square with an area of 32 ft^2.

Jul 30, 2018

Length of each side is $4 \sqrt{2}$ft

#### Explanation:

Let $x$ be the length of a side of a square
Since all sides of a square are the same, then the area of the square is equal to ${x}^{2}$

We know that the area of the square is $32$ so ${x}^{2} = 32$

Solving:
${x}^{2} = 32$
$x = \pm \sqrt{32}$
$x = \pm \sqrt{16 \times 2}$
$x = \pm 4 \sqrt{2}$

Now, since $x$ is the length of a side, then $x > 0$
therefore, $x = 4 \sqrt{2}$ft only