



 
Hi Rachel, Suppose the field is L metres lang and W metres wide. The length of fencing is then 2L + 2W meters. Hence
and the area is given by
Solve the first equation for W and substitute the value you obtain into the second equation. This will result in the area being expressed as a quadratic function in the variable L. Use what you know about quadratic functions to find the value of L that maximizes this expression. I hope this helps,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 