81 of 100: Ratio Riddle

Geometry Level 2

Two identical semicircles circumscribe one square and a rectangle composed of two squares, respectively.

What is the ratio of the green area to the blue area?

Hint: Look for ways to apply the Pythagorean theorem.

BONUS: Following the same pattern we've introduced for 1 and 2 squares, for what number of squares is the area of the squares the largest?

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