Respuesta :

The area of a square is given by the equation: [tex]A=s^{2}[/tex], where s is the length of the side.  Since the area of this picture frame is given (112), then the length of each side is the square root of the number.


However, 112 is not a perfect square.  You can simplify [tex]\sqrt{112}[/tex] by breaking it down into smaller components.  First, find the largest factor of 112 which is also a perfect square.  In this case, this is 16.  You can write [tex]\sqrt{112[/tex] as [tex]\sqrt{16}* \sqrt{7}[/tex] since 16*7=112.  Then, you can take the square root of 16.


The final answer is [tex]4\sqrt{7}[/tex].


Hope this makes sense!