Question

Figure B is a blueprint image of figure A. Find the value of $x$ using the dimensions given in the diagram.

• A. $4$ units
• B. $6$ units
• C. $8$ units
• D. $12$ units

Answer 1

The correct option is C $8$ units

From the figure, we observe that the two corresponding lengths are given as $6$ units and $12$ units, respectively.


Scale factor

$=\frac{\text{Dimension of scale model}}{\text{Dimension of actual object}}$

$=\frac{12\text{units}}{6\text{units}}$

$=12:6$

This means that the scale ratio of $12:6$ is used to prepare the blueprint.

Let us use this ratio to find $x$.
$\frac{12}{6}=\frac{x}{4}\Rightarrow 2=\frac{x}{4}$
Multiplying both sides by $4$,
$\Rightarrow$ $2$ x $4=$ $\frac{x}{4}$ x $4$
$\Rightarrow$ $8=x$

Hence, value of $x$ is $8\text{units}$.

So, option (c.) is correct.