Question

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

Answer 1

Question :-

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

to find :-

how m how long is the model ship ?

solution:-

Let, the length of model ship = x

we have table for this ,

$\begin{tabular}{I clc I cl clclcl}</p><p>\cline{1-3} length of actual ship (in m) & 12& 28\\</p><p>\cline{1-3} length of model ship (in cm)& 9&x \\</p><p>\cline{1-3} </p><p>\end{tabular}$

$\small\underline\textsf{\huge{[}\small{Note:- this is an direct proportion\huge{ ]}}}$

$\large\implies\tt \frac{12}{9} = \frac{28}{x}$

$\large\implies\tt x + 12$

$\large\implies\tt28 \times 9$

$\large\implies\tt x = \dfrac{\cancel{28 \times 9}}{\cancel{12}}$

$\large\implies\boxed{\tt 21 cm}$

the model ship is 21 cm long.

Answer 2

$\huge\underline\pink{\sf Question :-}$

★ In a model of a ship the mast is 9 cm 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?

Given:

• Mast of model ship is 9 cm high if the mast of actual ship is 12 m high
• Length of ship is 28m long

To Find:

• Length of model ship

Solution: Let length of model ship be x cm if the length of actual ship is 28 cm

★ Table will be ★

†Length of model ship (in cm) = 9 ⠀⠀ x

†Length of actual ship (in m) = 12 ⠀28

→ Now , as length of actual ship increases. Length of actual ship also increases ←

∴ These are in direct Proportion

$\small\implies{\sf }$ 9/12 = x/28

$\small\implies{\sf }$ (9/12)28 = x

$\small\implies{\sf }$ 252/12 = x

$\small\implies{\sf }$ 21 = x

Hence, Length of Model Ship is 21 m