https://file.aiquickdraw.com/mathbot/file/17300778784408g17vx5b.jpg

To find the area of the real backyard, we can use the scale and dimensions provided in the drawing.

### Step-by-Step Solution

1. **Identify the Scale**:
   - The drawing indicates that **3 cm represents 5 meters** in real life.

2. **Determine the Dimensions of the Backyard in the Drawing**:
   - The width of the backyard in the drawing is **3 cm**.
   - The height of the backyard in the drawing is **6 cm**.

3. **Convert Drawing Dimensions to Real Dimensions**:
   - To find the real dimensions, we set up a proportion for each dimension.
   
   **Width Conversion**:
   \[
   \text{Real Width} = \frac{5 \, \text{meters}}{3 \, \text{cm}} \times 3 \, \text{cm} = 5 \, \text{meters}
   \]

   **Height Conversion**:
   \[
   \text{Real Height} = \frac{5 \, \text{meters}}{3 \, \text{cm}} \times 6 \, \text{cm} = 10 \, \text{meters}
   \]

4. **Calculate the Area of the Real Backyard**:
   \[
   \text{Area} = \text{Real Width} \times \text{Real Height} = 5 \, \text{m} \times 10 \, \text{m} = 50 \, \text{m}^2
   \]

### Answer
The area of the real backyard is **50 square meters (m²)**.

Would you like further clarification or have any other questions?

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Here are five related questions to explore further:

1. How would the area change if the drawing scale was altered to 3 cm representing 10 meters?
2. If the dimensions of the apartment were provided, could we find the total area of the plot?
3. How can we convert other dimensions or scales into real measurements?
4. What would the area be if the drawing dimensions were doubled but the scale remained the same?
5. How does knowing the scale help in real-world applications such as architecture or landscaping?

**Tip**: Always check the scale of a drawing carefully before calculating real dimensions or areas; small differences in scale can lead to large discrepancies in real measurements.

A scale drawing for a plot of land is shown below. In the drawing, 3 cm represents 5 m. Assuming the backyard is rectangular, find the area of the real backyard.

Learn how to find the area of a real backyard from a scale drawing where 3 cm represents 5 meters. This guide covers scale conversion and area calculation for a rectangular backyard, suitable for middle school students.

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