SOLUTION: a new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a side. if the process id continued until there are already six squares, find the s

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Question 1044339: a new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a side. if the process id continued until there are already six squares, find the sum of the areas of all squares in square inches.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The sides of the six squares, in decreasing order, are
8, 4sqrt%282%29, 4, 2sqrt%282%29%29, 2, sqrt%282%29.
The areas are thus
64, 32, 16, 8, 4, 2,
and the sum of the areas of the squares is
126 square inches.