A scale drawing of a rectangular park had a scale of 1 cm = 90 m.

4.5 cm8.8 cm

What is the actual perimeter of the park in meters?

To calculate the actual perimeter of the rectangular park in meters, follow these steps:

### **Step 1: Find the dimensions of the actual park.**
The scale provided is \(1 \, \text{cm} = 90 \, \text{m}\). So, each measurement on the drawing needs to be multiplied by 90 to get the actual dimensions.

- Length in the drawing: \(4.5 \, \text{cm}\)
  - Actual length = \(4.5 \times 90 = 405 \, \text{m}\)
  
- Width in the drawing: \(8.8 \, \text{cm}\)
  - Actual width = \(8.8 \times 90 = 792 \, \text{m}\)

### **Step 2: Use the perimeter formula for a rectangle.**
The perimeter \(P\) of a rectangle is given by:  
\[
P = 2 \times (\text{Length} + \text{Width})
\]

Substitute the actual dimensions:
\[
P = 2 \times (405 + 792) = 2 \times 1197 = 2394 \, \text{m}
\]

### **Step 3: Final Answer.**
The actual perimeter of the park is:
\[
\boxed{2394 \, \text{m}}
\]

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Do you want more details or have any questions?

Here are five related questions to explore further:
1. How do you convert areas between scales?
2. What would the area of this park be in square meters?
3. If the scale were \(1 \, \text{cm} = 50 \, \text{m}\), what would the perimeter be?
4. How does changing the scale impact the measurements in real life?
5. Can the perimeter be calculated directly from the scaled measurements without converting dimensions first?

**Tip:** Always double-check whether you need perimeter, area, or both, as formulas are easy to mix up in geometry problems.

A scale drawing of a rectangular park had a scale of 1 cm = 90 m. The drawing dimensions are 4.5 cm and 8.8 cm. What is the actual perimeter of the park in meters?

Learn how to calculate the actual perimeter of a rectangular park from a scale drawing with dimensions 4.5 cm and 8.8 cm. Using the scale of 1 cm = 90 m, this geometry problem demonstrates how to apply perimeter formulas and scale conversions. Suitable for students in Grades 6-8.

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