What is the greatest difference in the perimeters of two rectangles whose sides have integral lengths and whose areas are both 25?

Question

dumbcow · Answer

smallest rectangle would be a square, largest would be 1X25

--> 52 -20 = 32

directrix · Answer

Correct! (would prefer a more cogent solution but that's okay :))

directrix · Answer

Here come another test for your mathematical mettle.

dumbcow · Answer

wasn't sure if it was needed here

directrix · Answer

It wasn't but others may look and want to know how to solve such problems. It's your call.

dumbcow · Answer

i'll just say that a square of some given area always minimizes the perimeter

anonymous · Answer

may be if the product is of the two variables is constant, the sum of the variables will be minimum when they are equal?

directrix · Answer

Yes, or as close together as possible.