Suppose and are positive integers where .
Then the perimeter of a rectangle constructed from squares of side length is greater than the perimeter of a rectangle constructed from squares of side length .
Is the above statement True or False?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
To prove a proposition is false, a single counterexample is sufficient. Here the perimeter of a figure made of 6 unit squares is 2 ( 2 + 3 ) = 1 0 , while perimeter of a rectangle made of only 5 unit squares is 2 ( 1 + 5 ) = 1 2 .