Question

What is the actual length of the living space if the length of the scale drawing is 16.8 centimeters? Enter your answer in the box.

A floor plan showing a living space, patio, and garage. The length of the living space is 16 point 8 centimeters. The scale is given as 2 centimeters equals 2 point 5 meters.

m

Answer 1

To find the actual length of the living space based on the scale provided, we can use the following relationship:

1. From the given scale, 2 centimeters in the drawing corresponds to 2.5 meters in reality.

Now, we can find the number of actual meters represented by the length in the drawing:

\[
\text{Scale Ratio} = \frac{2.5 \text{ meters}}{2 \text{ centimeters}} = 1.25 \text{ meters per centimeter}
\]

Next, we can multiply the length of the living space in centimeters by the scale factor to find the actual length:

\[
\text{Actual Length} = \text{Length in centimeters} \times \text{Scale Ratio}
\]

Substituting the values:

\[
\text{Actual Length} = 16.8 \text{ cm} \times 1.25 \text{ m/cm}
\]

\[
\text{Actual Length} = 21 \text{ meters}
\]

Therefore, the actual length of the living space is **21 meters**.