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 16
.(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

Answer 1

To determine the new dimensions and area of the study card when using a scale factor of \( \frac{1}{16} \), you'll need to multiply the original dimensions of the poster by the scale factor.

1. **Original Dimensions:**
- Length = 36 inches
- Width = 24 inches

2. **Calculate the new dimensions:**
- Length of the new study card = \( 36 \times \frac{1}{16} = \frac{36}{16} = 2.25 \) inches
- Width of the new study card = \( 24 \times \frac{1}{16} = \frac{24}{16} = 1.5 \) inches

3. **Calculate the area of the new study card:**
- Area = Length × Width
- Area = \( 2.25 \times 1.5 = 3.375 \) square inches

**Final Results:**
- Length of the new study card = **2.25 inches**
- Width of the new study card = **1.5 inches**
- Area of the new study card = **3.375 square inches**