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an architect is drawing floor plans for a building using a scale of 1 c…

Question

an architect is drawing floor plans for a building using a scale of 1 cm to 2 m. he wants a room to be 12 meters long. how many centimeters should he show for the length of this room on the floor plans? ? cm

Explanation:

Step1: Set up proportion

Let $x$ be the length on the floor - plan in cm. The scale is 1 cm to 2 m, so we have the proportion $\frac{1\ cm}{2\ m}=\frac{x\ cm}{12\ m}$.

Step2: Cross - multiply

$2x = 1\times12$.

Step3: Solve for $x$

$x=\frac{12}{2}=6$.

Answer:

6