Question

In a model of a ship, the mast is $9cm$ high, while the mast of the actual ship is $12m$ high. If the length of the ship is $28m$, how long is the model ship?

Answer 1

Find the required length of the model ship

Let the length of the model ship be $x$

The given information in the form of table

	Height of mast	Length of ship
Actual ship	$12m$	$28m$
Model ship	$9cm$	$x$

We know that, the dimension of the actual ship and the modal ship are directly proportional to each other.

Therefore,

$$\begin{gathered} \frac{12}{9}=\frac{28}{x} \\ x=\frac{28\times 9}{12} \\ x=\frac{252}{12} \\ x=21cm \end{gathered}$$

Hence, the length of the model ship is $21cm$.