Whenever I do painting, I’m always thankful I live in just three dimensions, and not, say, two hundred and three. Now, I know that sounds a bit odd, but there’s a good reason for it.
How long and wide must a rectangle be, for its area to equal its perimeter? Assume the width and length are whole numbers.
This is a nice little puzzle to let younger kids explore – if they find the puzzle as interesting or frustrating as I expect, they’ll remember the formulae for perimeter and area for the rest of their lives. For older kids, a bit of algebra gives the answer quickly.