Question

Model the following problem with a quadratic equation. Then solve.Find the length of a side of a square with an area of 50 ft?.Model the problem with a quadratic equation. Let x be the length of a side of the square.

Answer 1

`\begin{gathered} x^2\text{ = 50} \\ x\text{ = }\sqrt[]{50} \\ x\text{ = 7.07} \end{gathered}`

The area of a square is equal to the squared of one side.

`A=x^2`

Using the given data, we can have the quadratic equation of

`x^2\text{ -50 = 0}`

We can solve for x in 2 ways

`\begin{gathered} x^2\text{ = 50} \\ x\text{ = }\sqrt[]{50}\text{ = 7.07} \end{gathered}`

Or by using the quadratic formula