Question

Figure $B$ is a blueprint image of figure $A,$ which is obtained after scaling figure A by a certain factor, as shown in the given image. Find the value of $x.$

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

Answer 1

The correct option is B $8$ units

In the figure, a pair of corresponding lengths, $6$ units and $12$ units, of the triangle are given.
$\text{Scale factor}=\frac{\text{dimension of scaled model}}{\text{dimension of actual object}}$
$=\frac{12}{6}$
$=12:6$
This means the scale factor of $12:6$ is used to prepare the blueprint.
Let’s use this ratio to find the value of $x.$
$\frac{12}{6}=\frac{x}{4}$
$\Rightarrow 2=\frac{x}{4}$
Multiplying both sides by $4,$
$=2\times 4=\frac{x}{4}\times 4$
$\Rightarrow x=8$
Hence, the value of $x$ is $8$ units.