1997 AJHSME Problems/Problem 10
Contents
Problem 10
What fraction of this square region is shaded? Stripes are equal in width, and the figure is drawn to scale.
Solution 1
Fill in grid lines to make the shape look like a small 6x6 checkerboard.
There are squares total. The smallest shaded region has squares. The medium shaded region has squares. The largest shaded region has squares. The total shaded area is squares.
Thus, of the square is shaded, and the answer is
Solution 2
Similar to the first solution, fill in the gridlines to make squares total.
Instead of counting shaded squares, count unshaded squares. There are unshaded squares.
Thus of the square is unshaded, and of the square is shaded.
See also
1997 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
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All AJHSME/AMC 8 Problems and Solutions |
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