Question

Cara and Beejal would like to reduce a poster into small study card. The original poster has a length of 36 inches and a width of 24 inches. Cara and Beejal will reduce the poster using a scale factor of 1/6
.(3 points)
Determine the dimensions and area of the study card.

7th Grade Math Formula Sheet

Length of the new study card =
inches

Width of the new study card =
inches

Area of the new study card =
square inches

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Answer 1

To determine the dimensions and area of the study card after reducing the poster using a scale factor of \( \frac{1}{6} \), we can follow these steps:

1. **Calculate the Length of the New Study Card:**
\[
\text{Length of the new study card} = \text{Original Length} \times \text{Scale Factor} = 36 \, \text{inches} \times \frac{1}{6} = 6 \, \text{inches}
\]

2. **Calculate the Width of the New Study Card:**
\[
\text{Width of the new study card} = \text{Original Width} \times \text{Scale Factor} = 24 \, \text{inches} \times \frac{1}{6} = 4 \, \text{inches}
\]

3. **Calculate the Area of the New Study Card:**
\[
\text{Area of the new study card} = \text{Length} \times \text{Width} = 6 \, \text{inches} \times 4 \, \text{inches} = 24 \, \text{square inches}
\]

Now, we summarize the results:

- **Length of the new study card** = 6 inches
- **Width of the new study card** = 4 inches
- **Area of the new study card** = 24 square inches