A scale on a blue print drawing of a house shows that \[10\] centimeters represents \[2\] meters.

**What number of actual meters are represented by \[18\] centimeters on the blue print?**

We are given that 10 centimeters on the blueprint represents 2 meters in actual measurement. This sets up a ratio of blueprint distance to actual distance as:

\[
\frac{10 \text{ cm}}{2 \text{ meters}} = \frac{x \text{ cm}}{y \text{ meters}}
\]

We need to find how many meters \( y \) are represented by 18 centimeters on the blueprint.

### Step 1: Set up the ratio

Using the given ratio, we set up the proportion:

\[
\frac{10 \text{ cm}}{2 \text{ meters}} = \frac{18 \text{ cm}}{y \text{ meters}}
\]

### Step 2: Solve for \( y \)

To find \( y \), we cross-multiply:

\[
10 \times y = 2 \times 18
\]
\[
10y = 36
\]

Now, solve for \( y \):

\[
y = \frac{36}{10} = 3.6 \text{ meters}
\]

Thus, 18 centimeters on the blueprint represents **3.6 meters** in actual measurement.

Do you want more details or have any questions about this?

Here are 5 related questions to explore:
1. If 5 centimeters on the blueprint represents 1 meter, what does 25 centimeters represent?
2. How would you calculate the scale factor between a blueprint and an actual house?
3. If a wall on a blueprint measures 7 centimeters, how many meters does it represent in real life using the given scale?
4. How do you convert from meters to centimeters when dealing with blueprints?
5. How would you adjust the scale if you wanted 1 centimeter to represent 1 meter?

**Tip:** Always maintain consistent units when setting up proportions between blueprint dimensions and real-life dimensions.

Understand how to calculate real-life measurements from blueprint scales. Solve the problem where 10 centimeters on a blueprint represents 2 meters, finding that 18 centimeters equate to 3.6 meters. Learn more about ratio and proportion in scale calculations. Suitable for Grades 6-8.

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