Cutting a piece of wire

Geometry Level 3

A piece of wire \(224\) inches long is cut into \(3\) pieces in the ratio \(1:4:9\). The shortest piece is bent to form a square. The longest piece is bent to form a regular hexagon. The third piece is bent to form a circle. Which of the following is the sum of the areas (square inches) of the three polygons formed?

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