A scale model of a whale is being built. The actual length of the whale is 65 feet. The scale of the model is 2 inches 3 feet. What will be the length of the model?

Respuesta :

Answer:

The length of the model will be 43.3 inches.

Step-by-step explanation:

Given : A scale model of a whale is being built. The actual length of the whale is 65 feet. The scale of the model is 2 inches : 3 feet.

To find : What will be the length of the model?

Solution :

The scale of the model is 2 inches : 3 feet i.e. [tex]\frac{2}{3}[/tex]

Let the length of model be 'x' inches.

According to question,

[tex]\dfrac{2}{3}=\dfrac{x}{65}[/tex]

Cross multiply,

[tex]2\times 65=3\times x[/tex]

[tex]x=\dfrac{2\times 65}{3}[/tex]

[tex]x=43.3[/tex]

Therefore, the length of the model will be 43.3 inches.