SOLUTION: The midpoints of the sides of a square are connected to form a second square.The midpoints of the sides of the second square are then connected to form a third square, and success

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Question 240332: The midpoints of the sides of a square are connected to form a second square.The
midpoints of the sides of the second square are then connected to form a third square, and successive side midpoints are connected in the same way to form a fourth, fifth and sixth square. The area of the original square is 64 square inches. Determine the number of square inches in the area of the sixth square.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The midpoints of the sides of a square are connected to form a second square.
The midpoints of the sides of the second square are then connected to form a
third square, and successive side midpoints are connected in the same way to form a fourth, fifth and sixth square.
The area of the original square is 64 square inches.
Determine the number of square inches in the area of the sixth square.
:
This follows a pattern as follows"
:
No|side|area
1. 8, 64
2. sqrt%2832%29,32
3. 4, 16
4. sqrt%288%29,8
5. 2, 4
6. sqrt%282%29, 2 sq/in; (area of the 6th square)
7. 1, 1