A geometry problem by Ajay Sambhriya

Geometry Level 3

The above shows a rectangle and two circles of radius 4 drawn such that both circles pass through

  • the midpoints of sides AB and CD of rectangle ABCD

  • the vertices of rectangle ABCD (2 vertices for each circle)

  • the center of the other circle.

Find the area of this rectangle.

Give your answer to 2 decimal places.

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