Question

Danielle is making a scale model of her room for a project. The dimensions of her bed are 60 inches wide by 80 inches long. Her bed in the model measures 3 cm wide. What should the length of the bed be in the model?

a) 4 cm
b) 2 cm
c) 4.5 cm
d) 6 cm

Answer 1

The length of the bed in the model should be approximately 26.67 inches.

Step-by-step explanation:

To determine the length of the bed in the model, we need to use the scale factor. The scale factor determines the ratio between the actual length and the model length. In this case, the scale factor is the ratio of the actual length (80 inches) to the model length (3 cm).

To find the model length, we can set up a proportion:

80 inches / 3 cm = x inches / 1 cm

Cross multiplying, we get:

80 * 1 = 3 * x

x = 80 / 3 = 26.67 inches

Therefore, the length of the bed in the model should be approximately 26.67 inches.