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The scale of a model airplane is 2:85. If the model is 45 cm long, how long is the actual plane?

User Deeb
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Final answer:

To find the actual length of the airplane, we use the given scale of the model airplane, 2:85, and the model length of 45 cm to set up a proportion (2/85 = 45/x). Solving for x, we get x = 1912.5 cm or 19.125 meters, which is the actual length of the plane.

Step-by-step explanation:

To solve the question, the scale of the model airplane, which is 2:85, needs to be applied to find the actual length of the plane. The scale means that every 2 units of model length correspond to 85 units of actual length. To find the actual length, we set up a proportion using the model length given, 45 cm:

  • Model Scale: 2
  • Actual Scale: 85
  • Model Length: 45 cm

We solve for the actual length using the proportion:

2/85 = 45/x

Multiply both sides by x to get:

2x = 45 × 85

Now divide both sides by 2 to find x:

x = (45 × 85) / 2

x = 1912.5

So, the actual length of the airplane is 1912.5 cm or 19.125 meters.

User Aleksey Isachenkov
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