Question

A computer monitor is 64 inches by 36 inches. Select a monitor measure from the ones below that is a smaller scale of this monitor.
*
1 point
9 inches by 5.5 inches
12 inches by 8 inches
8 inches by 4.5 inches
7 inches by 3.5 inches

Answer 1

To determine which monitor measure is a smaller scale of the original monitor (64 inches by 36 inches), we need to find a smaller monitor that has the same aspect ratio as the original monitor.

The aspect ratio of the original monitor is:

\[
\text{Aspect Ratio} = \frac{64}{36} = \frac{16}{9}
\]

Now, let's check the aspect ratios of the given options:

1. **9 inches by 5.5 inches**:
\[
\text{Aspect Ratio} = \frac{9}{5.5} \approx 1.636 \quad \text{(which is approximately } \frac{16}{9} \approx 1.778\text{)}
\]

2. **12 inches by 8 inches**:
\[
\text{Aspect Ratio} = \frac{12}{8} = \frac{3}{2} = 1.5 \quad \text{(not equal to } \frac{16}{9}\text{)}
\]

3. **8 inches by 4.5 inches**:
\[
\text{Aspect Ratio} = \frac{8}{4.5} \approx 1.778 \quad \text{(which is equal to } \frac{16}{9}\text{)}
\]

4. **7 inches by 3.5 inches**:
\[
\text{Aspect Ratio} = \frac{7}{3.5} = 2 \quad \text{(not equal to } \frac{16}{9}\text{)}
\]

From the above calculations, the option that maintains the same aspect ratio as the original monitor is **8 inches by 4.5 inches**.

Thus, the smaller scale of the monitor is **8 inches by 4.5 inches**.