1 centimeter in a scaled drawing represents 7 feet. If a square pool has an area of 16 square centimeters in the drawing, what is its actual area?

To solve this problem, we'll follow these steps:

1. **Understand the scale conversion**: 
   - 1 centimeter on the drawing represents 7 feet in reality.

2. **Determine the side length of the square pool in the drawing**:
   - The area of the square pool in the drawing is 16 square centimeters.
   - Since the pool is square-shaped, the side length of the square in the drawing can be found by taking the square root of the area.
   - \[
   \text{Side length in the drawing} = \sqrt{16 \, \text{cm}^2} = 4 \, \text{cm}
   \]

3. **Convert the side length from the drawing to the actual length**:
   - Use the scale to convert the side length from centimeters to feet.
   - \[
   \text{Actual side length} = 4 \, \text{cm} \times 7 \, \text{feet/cm} = 28 \, \text{feet}
   \]

4. **Calculate the actual area of the pool**:
   - Since the pool is square-shaped, the area can be calculated as the side length squared.
   - \[
   \text{Actual area} = (28 \, \text{feet})^2 = 784 \, \text{square feet}
   \]

So, the actual area of the square pool is **784 square feet**.

Would you like more details or have any questions?

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Here are some related questions you might find interesting:

1. If the scale was changed to 1 cm representing 5 feet, what would be the actual area of the pool?
2. What would be the perimeter of the pool in feet based on the original scale?
3. How would the area change if the pool in the drawing was 25 square centimeters?
4. If another pool had an area of 100 square feet in real life, what would its area be in the drawing?
5. How does changing the scale impact the actual area and perimeter of the pool?

**Tip:** When working with scale drawings, always start by understanding the scale ratio, then apply it systematically to all dimensions.

Learn how to calculate the actual area of a square pool from a scale drawing where 1 centimeter represents 7 feet. This problem involves understanding scale drawings, calculating areas, and converting units from centimeters to feet. Suitable for students in Grades 7-9.

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