Question

A square window has an area of x² + 12x + 36 square feet. Find the length of oneside of the square

Answer 1

Given that a square window has an area of x² + 12x + 36

`\begin{gathered} Area\text{ of square = l}^2 \\ Where\text{ l = length of the square} \\ Thus,\text{ length of the square= }√(Area)\text{ of the square} \end{gathered}`
`\begin{gathered} l=√(x²+12x+36) \\ l=√((x^2+6x+6x+36)) \\ l=√(x(x+6)+6(x+6)) \\ l=√((x+6)(x+6)) \\ l=√((x+6)^2) \\ l=x+6 \end{gathered}`

The length of one side of the square = x+6