Question

If the width of the door of the living room is $0.75\,cm$ on the floor plan its actual length in meters is ?

Answer 1

Hint:The map of a single floor is referred to as a "Floor Plan." Architects can have furniture to help us imagine how a room might be decorated. Parallel lines reflect walls, which may be flat or filled with a pattern. Doors, windows, and gaps within rooms are indicated by breaks in the walls.

Complete step by step answer:
We know that according to a standard floor plan, $1.5\,cm$ on the floor plan represents $3m$ on the actual door dimension. So, $1\,cm$ on the floor plan will be equal to $\dfrac{3}{{1.5}} = 2\,m$.
In the question it is asked for $0.75\,cm$ , hence, the actual length will be:
$2 \times 0.7 \\
\Rightarrow 1.5\,cm \\ $
Now, we know that $0.75\,cm$ is the same as $1.5\,m$ in the actual dimension and $1.5\,cm$ is the same as $3\,m$ in the actual dimension. Hence, by applying cross multiplication where we are considering $x$ as the actual length of the living room plan.
$x = \dfrac{{0.75 \times 3}}{{1.5}} \\
\Rightarrow x = \dfrac{3}{2} \\
\therefore x = 1.5\,m \\ $
Hence, the answer is $1.5\,m$.

Note:The floor plan is a treasure map, written in a symbolic language and promising the satisfaction of a dream as we plan to create a new house. We imagine clear lines and arcs stretching through walls, doors, and windows as we "read" a floor plan with dimensions; we imagine ourselves in a "house," and we wonder if the spaces can feel simultaneously vacant and filled with life.