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

Question

.(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