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 is continued until there are already six squares, find the

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Question 982085: A new square is formed by joining the midpoints of the consecutive
sides of a square 8 inches on a side. If the process is continued until
there are already six squares, find the sum of the areas of all squares
in square inches. thank you

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the side of the outer most square is 8
area = 64
the side of the first inner square = sqrt%284%5E2%2B4%5E2%29
=4%2Asqrt%282%29
Area of first inner square = 32
Every inner square is half in area of the outer square
6 squares
54,32,16,8,4,2
Add them up 116 in^2