Question

A model of a boat is made on the scale of $1:5$. The full size of the boat has a length of $300cm$ and width of $80cm.$ What is the width of the scale model?

• A. $400$ cm
• B. $16$ cm
• C. $80$ cm
• D. None of the above

Answer 1

The correct option is B $16$ cm

$\text{Given:}$
$\bullet$ Actual width = $80$ cm
$\bullet$ Scale factor = $\frac{1}{5}$
Let, the width of scale model = $wcm$

We know that,

$\text{Scale factor}$
= $\frac{\text{Dimension of scale model}}{\text{Dimension of actual object}}$
$\Rightarrow$ $\frac{1}{5}$ = $\frac{\text{w}}{80}$
Multiplying both sides by $80$,
$\Rightarrow$ $\frac{1}{5}\times 80=\frac{\text{w}}{80}$ x $80$
$\Rightarrow$ $16$ = $w$

$\therefore$ The width of the scale model is $16cm.$

Hence, option (b.) is correct.