What part of the square is red?
The stripes have the same width.
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If one divides the large square into an 8 by 8 grid, one can see that the red stripes, from shortest to longest, have areas of 3, 7, 11, & 15. The percentage area is 8 2 3 + 7 + 1 1 + 1 5 = 6 4 3 6 = 1 6 9 = 5 6 . 2 5 %