



 
Hi Kimberley, If you tell me that the perimeter of a rectangle is $P$ units then I know that the largest area that the rectangle can have is if the rectangle is a square. Its side length would then be $\large \frac{P}{4}$ and its area would be \[\left( \frac{P}{4}\right)^2 = \frac{P^2}{16} \mbox{ square units.}\] Other than that all I know is that the area must be positive. I hope this helps,  


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