Question

1 cm = 18 ft
1 cm = 3 ft
above are two different models of the same rectangular hallway. if the length of the model on the top is 6 cm, what is the length of the model on the bottom?
a. 21 cm
b. 36 cm
c. 12 cm
d. 15 cm

Explanation:

Step1: Find actual length of hallway

Since 1 cm in top - model represents 18 ft and top - model length is 6 cm, actual length $L$ is $L = 6\times18=108$ ft.

Step2: Find length of bottom - model

In bottom - model, 1 cm represents 3 ft. Let length of bottom - model be $x$ cm. Then $x=\frac{108}{3}=36$ cm.

Answer:

B. 36 cm