Question 858158
If the perimeter = 102, then L + W = 51 (perimeter is 2L + 2W)
The numbers closest together are going to yield the highest area.
Any numbers that equal 51 are going to work.  What two numbers are closest to each other? 51/2 = 25.5
Length = 26, Width = 25, Area = 25 * 26 = 650
.
You can test that.  Pick any other two.  How about 50 and 1?
50 * 1 = 50
Maybe 30 and 21.  30*21=630
20*31=620
5*46 =230
etc, etc, etc.  It's always going to be the two numbers closest together that yield the highest area.