Question

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

Options

• 15: 1

• 2 : 3

• 1 : 15

• 3 : 2

Answer 1

The length of a boat is 2.4 m and the length of its model is 16 cm. The scale factor is 1 : 15.

Explanation:

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 = `16/240 = 1/15 ​` = 1 : 15.