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

Algebra ->  Sequences-and-series -> 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      Log On


   



Question 982258: 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. hope you can help me

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
I assume that we begin with the 8 inch square and therefore count it in the total of 6 squares
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The process divides the squares side in half, therefore
sides 8 4 2 1 0.5 0.25
areas 64 16 4 1 0.25 0.0625
sum of areas is 85.3125 square inches