In the diagram shown, what is the ratio of shaded parts to unshaded parts?

4 shaded rectangles and 2 unshaded rectangles.
2 shaded for every 4 unshaded
6 shaded for every 2 unshaded
2 shaded for every 2 unshaded
4 shaded for every 2 unshaded

1 answer

To find the ratio of shaded parts to unshaded parts, we can start by looking at the information provided:

  • There are 4 shaded rectangles.
  • There are 2 unshaded rectangles.

Now, we can express the ratio of shaded parts to unshaded parts:

\[ \text{Ratio of shaded to unshaded} = \frac{\text{Number of shaded rectangles}}{\text{Number of unshaded rectangles}} = \frac{4}{2} \]

To simplify this ratio:

\[ \frac{4}{2} = 2 \]

So, the ratio of shaded parts to unshaded parts is 2:1.

Now let's check if this matches any provided options:

  1. 2 shaded for every 4 unshaded: This is a ratio of 2:4, which simplifies to 1:2, not a match.
  2. 6 shaded for every 2 unshaded: This implies a ratio of 6:2, which simplifies to 3:1, not a match.
  3. 2 shaded for every 2 unshaded: This implies a ratio of 2:2, which simplifies to 1:1, not a match.
  4. 4 shaded for every 2 unshaded: This implies a ratio of 4:2, which simplifies to 2:1, this is a match.

Thus, the correct answer is 4 shaded for every 2 unshaded, which corresponds to a ratio of 2:1.