give the demention of the rectangle with an area of 100 square units whole numbers side lenghts that has the largest perimeter

L w = 100

so
perimeter = 2 L + 2 w
try some values
like
w L p
1 100 202
2 50 104
4 25 58
5 20 50
10 10 40
we need go no further, 1 by 100 gives the largest and 10 by 10 gives the smallest