Four circles with centers A,B,C,and D are mutually tangent. The areas of circles A,B,C, and D are 25pi, 100pi, 16pi, and 225pi respectively. How many units are in the perimeter of quadrilateral ABCD?

Answer 1

The radii of the circles are 5, 10, 4 and 15.

If they can be arranged to be mutually tangent, the quadrilateral ABCD connects the centers of the circles, and has perimeter = 2(4 + 5 + 10 + 15) = 68

Answer 2

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Answer 3

the answer is 68