Question

cara and Beejal would like to reduce a poster into a small study card. the original poster a has a length of 36 inches and a width of 24 inches. cara and Beejal will reduce the poster using the cale factor 1/6

Answer 1

To reduce the dimensions of the poster using a scale factor of \( \frac{1}{6} \), you will multiply both the length and the width of the original poster by the scale factor.

Given the original dimensions:

- Length: 36 inches
- Width: 24 inches

Now, applying the scale factor:

1. **Length**:
\[
\text{New Length} = 36 \, \text{inches} \times \frac{1}{6} = 6 \, \text{inches}
\]

2. **Width**:
\[
\text{New Width} = 24 \, \text{inches} \times \frac{1}{6} = 4 \, \text{inches}
\]

So, when Cara and Beejal reduce the poster using the scale factor of \( \frac{1}{6} \), the dimensions of the small study card will be:

- Length: 6 inches
- Width: 4 inches