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.
:
This follows a pattern as follows"
:
No|side|area
1. 8, 64
2. {{{sqrt(32)}}},32
3. 4, 16
4. {{{sqrt(8)}}},8
5. 2, 4
6. {{{sqrt(2)}}}, 2 sq/in; (area of the 6th square)
7. 1, 1