Question

Figure B is a blueprint 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. 10 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.


Dimension of actual object
= 2$\times$ Dimension of scale model

$\Rightarrow$ 12 = 2 $\times$ 6

$\Rightarrow$ 12 = 12

This means that a scale factor of 2 is used for the original.

Let us use this ratio to find 'x'.

Dimension of actual object
= 2 $\times$ Dimension of scale model

$\Rightarrow$ x = 2 $\times$ 4

$\Rightarrow$ x = 8

Hence, the value of 'x' is 8 units.

So, option (c) is correct.