Question

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

Answer 1

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**.