Question

"A model airplane is constructed using a scale factor of 1 cm: 75 cm. If the actual airplane has a wingspan of 12 meters, how many centimeters long is the wingspan of the model? There are 100 cm in 1 m.

A) 0.16 cm

B) 6.25 cm

C) 900 cm

D) 16 cm"

Answer 1

Using the scale factor of 1 cm to 75 cm and converting 12 meters to centimeters, the wingspan of the model airplane is determined to be 16 centimeters long.

Step-by-step explanation:

The student has asked how many centimeters long is the wingspan of the model airplane if the actual airplane has a wingspan of 12 meters, using a scale factor of 1 cm to 75 cm. First, convert the actual wingspan from meters to centimeters by multiplying 12 meters by 100 cm/meter, resulting in 1200 cm. Next, apply the scale factor by dividing the actual wingspan in centimeters by the scale factor:

1200 cm / 75 = 16 cm.

Therefore, the wingspan of the model airplane is 16 centimeters long.