Question

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.

Answer 1

Length of each side is `4sqrt2`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=+-sqrt32`
`x=+-sqrt(16times2)`
`x=+-4sqrt2`

Now, since `x` is the length of a side, then `x >0`
therefore, `x=4sqrt2`ft only