In the following figure, all the small squares on the board are equal. What percentage of the larger square does the painted region cover?

![](https://cdn.mathpix.com/cropped/2024_05_01_e67c0440f1fa8bc62cdcg-21.jpg?height=219&width=217&top_left_y=1482&top_left_x=994)

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Solution

The total figure consists of 16 small squares, and the painted region corresponds to the area of 3 of them. Therefore, the percentage of the painted area is

$$
\frac{3}{16}=\frac{18.75}{100}=18.75 \%
$$