Question

Model the following problem with a quadratic equation. Then solve.Find the length of a side of a square with an area of 150 it.Model the problem with a quadratic equation. Let x be the length of a side of the square.

Answer 1

the formula of the area of the square is

`A=x^2^{}`

replace the area

`\begin{gathered} 150=x^2 \\ x^2=150 \\ x^2-150=0 \end{gathered}`

and solve x

`\begin{gathered} x=\sqrt[]{150} \\ x=5\sqrt[]{6}\approx12.25 \end{gathered}`

the length of a side is 12.25ft