the perimeter of a paved area being built at a playground is ging to be 46m. If the length & width are each a whole number of meters, what should the length & width of the area be to cover the greatest possible area? Draw a picture and make an organized list.

this is a problem that requires "plan and solve" what plan could you make for determining the perimeter with the greatest possible areas. Make a list of all possible dimensions and areas..The Perimeter of a paved area being built at a playground is going to be 46 meters. If the lenght and width are each a whole number of meters, what should the length and width of the area be to cover the greatest possible area?

you can also use differentiation techniques....to solve the maxima minima problem...but it is the easiest way ...for the length and breadth of 11 & 12 ....2( 11+12) = perimeter is still 46 meter in all the case...and we get maximum area in the last case