A triangle is constructed using side BC and the midpoint of AD. Squares are inscribed within the triangle as shown. What fraction of the square ABCD is red?

I liked this one !
Starting hint for others: Let the length of the side of the big square be 4, then no nasty fractions.

1/36. What if… it wasn’t the midpoint of AD, and there was a second red square in the corner below the larger inscribed square. Would the combined red area be invariant?

4/81 I think

Not quite!

1/36

Super quick as always Howard!

I liked this one !

Starting hint for others: Let the length of the side of the big square be 4, then no nasty fractions.

1/36. What if… it wasn’t the midpoint of AD, and there was a second red square in the corner below the larger inscribed square. Would the combined red area be invariant?