<PRE><B>Question 751575</B>
Perimeter = 2 lengths + 2 widths
                 2l   +    2w  = 34m
                Therefore   2l  =  34 - 2w
                             l  =  17 - w

              Area = length x width
                     ( 17 - w) x w
                        17w - w^2

                 Differentiate

                        17 - 2w
                        17 - 2w = 0
                           - 2w = - 17
                              w = 8.5

       By inserting values below and above 8.5 into 17 - 2w
       the value 8.5 is found to be a maximum.

                  length = 8.5
                  width  = 8.5

            Max area    = 72.25 m^2
           </PRE>