Draw straight lines on a 6x6 square to dissect 4 equal size square and 4 equal size pentagons

To dissect a 6x6 square into 4 equal-size squares and 4 equal-size pentagons using straight lines, you can follow these steps:

1. Start with a 6x6 square.
2. Draw two horizontal lines across the square, dividing it into three equal horizontal strips, each 2 units high.
3. Draw two vertical lines down the square, dividing it into three equal vertical strips, each 2 units wide.
4. This gives you 9 smaller squares, each 2x2 units.

To form the pentagons and equal-size squares:

1. Consider the central square and the four corner squares.
2. Each of the four corner squares will remain a square (4 squares in total).
3. From the central square, draw lines from its corners to the midpoints of the four adjacent squares' sides.

Here is a step-by-step breakdown:

1. Draw the square grid as described above:

    ```
    0   2   4   6
    +---+---+---+
    |   |   |   |
    +---+---+---+ 2
    |   |   |   |
    +---+---+---+ 4
    |   |   |   |
    +---+---+---+ 

Learn how to dissect a 6x6 square into 4 equal-size squares and 4 equal-size pentagons using straight lines. This problem involves geometric concepts of square dissection and is suitable for advanced high school students.

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