To calculate the actual area of the park based on the scale drawing, we need to follow these steps:

Step 1: Identify the dimensions from the scale drawing

The given dimensions are:

• Height = 8.6 cm
• Width = 6.2 cm

Step 2: Use the scale factor

The scale factor is given as 1 cm = 110 meters. This means every 1 cm in the drawing corresponds to 110 meters in the real park.

Step 3: Convert the dimensions to real-life measurements

• Actual height of the park = $8.6 \, \text{cm} \times 110 \, \text{m/cm} = 946 \, \text{m}$
• Actual width of the park = $6.2 \, \text{cm} \times 110 \, \text{m/cm} = 682 \, \text{m}$

Step 4: Calculate the actual area

The actual area $A$ of the park is given by:

$A = \text{height} \times \text{width} = 946 \, \text{m} \times 682 \, \text{m} = 645,172 \, \text{m}^2$

Thus, the actual area of the park is 645,172 square meters.

Would you like a breakdown of any part of this process, or further details?

Here are 5 related questions to practice:

1. If the scale were changed to 1 cm = 150 m, what would be the new actual area of the park?
2. How would you calculate the perimeter of the actual park in meters?
3. If a smaller park had a drawing with dimensions 4 cm by 3 cm, what would its actual area be using the same scale?
4. What is the ratio of the actual park's area to the area of the drawing?
5. If the drawing was enlarged by 50%, how would that affect the actual dimensions?

Tip: Always remember to check units carefully when working with scales, especially when converting between centimeters and meters!