This week the question is: Can You Save the Pizza?

[Pizza and snake.] The [pizza] slice … is an equilateral triangle with a side length of 10 inches. I specifically want to request the smallest rectangle of foil (by area) such that I can completely cover the slice above and below. I can’t fold the pizza, but I’m allowed to make as many straight folds in the foil as I want, without tearing it. What is the area of the smallest such rectangle of foil that would do the trick?

And here’s my suggested solution:

I suggest that the slice can be wrapped in this piece of foil, no less. (That picture has both the top and the bottom of the slice visible. Before cutting the foil, it would actually look more like this.) After a few calculations, I deduce that the area of the foil is 15 * 5√3 = 75√3 = 130, approximately.

ETA: I have since seen a solution with 115. So there…