Question

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.

Length (cm) Width (cm)
4
3
5 10
7

Answer 1

the four is supposed to be on the width side

Answer 2

To find the missing numbers in your table of equivalent ratios of lengths to widths, we first need to establish the relationship between length and width.

From the information given, let's analyze the ratios:

1. For the length of **5 cm**, the width is **10 cm**. This gives us the ratio:
\[
\frac{\text{Length}}{\text{Width}} = \frac{5}{10} = \frac{1}{2}
\]
This means that for every 1 cm in length, there are 2 cm in width.

Now, we can use this ratio to find the missing widths:

2. For a length of **4 cm**:
\[
\text{Width} = 4 \times 2 = 8 \text{ cm}
\]

3. For a length of **3 cm**:
\[
\text{Width} = 3 \times 2 = 6 \text{ cm}
\]

4. For a length of **7 cm**:
\[
\text{Width} = 7 \times 2 = 14 \text{ cm}
\]

Now we can fill in the table:

| Length (cm) | Width (cm) |
|-------------|------------|
| 4 | 8 |
| 3 | 6 |
| 5 | 10 |
| 7 | 14 |

So, the completed table of equivalent ratios is:

- Length of 4 cm corresponds to a width of 8 cm.
- Length of 3 cm corresponds to a width of 6 cm.
- Length of 5 cm corresponds to a width of 10 cm (given).
- Length of 7 cm corresponds to a width of 14 cm.