Question

In a blueprint of a room, an architect has shown the height of the room as $33\mathrm{cm}$. If the actual height of the room is $330\mathrm{cm}$, then the scale used by her is

• A. $1:11$
• B. $1:10$
• C. $1:100$
• D. $1:3$

Answer 1

The correct option is B

$1:10$

Explanation for the correct option

Given, height of room in blueprint$=33\mathrm{cm}$
Height of the actual room$=330\mathrm{cm}$

Thus, ratio of scale $=$ $\frac{\mathrm{Drawn}\mathrm{size}}{\mathrm{Actual}\mathrm{size}}$

$$\begin{gathered} =\frac{33}{330} \\ =\frac{1}{10} \end{gathered}$$

Therefore, the scale used by architect is $1:10$.

Hence, option(B) is correct.