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.


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 dimensions and area of the study card after reducing the poster using a scale factor of 16, we can follow these steps:

1. **Calculate the dimensions of the new study card:**
- **Length of the new study card:**
Original length = 36 inches
Scale factor = 16
New length = Original length / Scale factor
New length = 36 inches / 16 = \( \frac{36}{16} = 2.25 \) inches

- **Width of the new study card:**
Original width = 24 inches
Scale factor = 16
New width = Original width / Scale factor
New width = 24 inches / 16 = \( \frac{24}{16} = 1.5 \) inches

2. **Calculate the area of the new study card:**
- Area = Length × Width
Area = 2.25 inches × 1.5 inches = 3.375 square inches

Now, putting together the 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**