A recent delivery came with an unexpected bonus.

A diagram illustrating the geometric relationship between the length and the width of the box!

Of course, the equation immediately came to mind. I also noticed that the pallet could not be a square: if , then , which would make the box itself a square-based box, which it clearly is not.

I did a quick search and found the standard pallet size to be 48 inches by 40 inches. So my best guess is that and . This box has already been discarded, so I guess I’ll have to order another box to find out!

Knowing that there are 6 rolls of paper towels in the box, and their probable arrangement and size, also helps verify that your answer is probably correct.

Interesting point! I suppose we could write the equations in terms of the radius of the paper towel rolls!