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The problem asks for the actual length of a living room based on a blueprint where 39 millimeters represents 6 meters, and the length of the living room on the blueprint is 52 millimeters.

This is a simple proportion problem. Let's set up the proportion like this:

\[
\frac{39 \, \text{mm}}{6 \, \text{meters}} = \frac{52 \, \text{mm}}{x \, \text{meters}}
\]

Where \(x\) is the actual length of the living room. To solve for \(x\), we can cross-multiply:

\[
39 \cdot x = 6 \cdot 52
\]

Now solving for \(x\):

\[
x = \frac{6 \cdot 52}{39}
\]

Let me calculate that for you.The actual length of the living room is 8 meters.

Would you like more details or have any questions about this? Here are some related questions you might explore:

1. What if the blueprint used 1:50 scale instead of this proportion?
2. How can the blueprint's scale be converted into a ratio format?
3. What if the length of the living room on the blueprint were given in centimeters?
4. How do you calculate the width if both length and width are provided in the same blueprint?
5. How does scale conversion affect furniture placement on blueprints?

**Tip:** When working with scales on blueprints, always make sure the units match to avoid calculation errors.

On the blueprint of a house, 39 millimeters represents 6 meters. The length of the living room is 52 millimeters on the blueprint. What is the actual length of the living room?

Learn how to solve a proportion problem where 39 millimeters represents 6 meters on a house blueprint. The length of the living room on the blueprint is 52 millimeters. Discover the step-by-step process to calculate the actual length of the living room, suitable for students in Grades 6-8.

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