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The length of a boat is 2.4 m and the length of its model is 16 cm. The scale factor is :

  1. 15 : 1

  2. 2 : 3

  3. 1 : 15

  4. 3 : 2

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Answer

Let scale factor be k.

Given,

Length of model = 16 cm

Length of boat = 2.4 m = 2.4 × 100 = 240 cm.

By formula,

⇒ Length of model = Scale factor × Length of boat

Substituting values we get :

⇒ 16 = k × 240

⇒ k = 16240=115\dfrac{16}{240} = \dfrac{1}{15} = 1 : 15.

Hence, Option 3 is the correct option.

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