https://file.aiquickdraw.com/mathbot/file/1730626496661erb8pwx5.jpg

To solve this problem, let's break down the steps and apply the information provided.

### Step 1: Understand the scale and calculate the actual dimensions of the parking area.
The scale given is \(1:200\), which means every 1 cm on the diagram represents 200 cm (or 2 meters) in reality.

#### Diagram Dimensions:
- **Width of the parking area**: \(6.5 \text{ cm}\)
- **Length of the parking area**: \(16.5 \text{ cm}\)

Using the scale of \(1:200\):
1. **Actual Width** = \(6.5 \, \text{cm} \times 200 = 1300 \, \text{cm} = 13 \, \text{m}\)
2. **Actual Length** = \(16.5 \, \text{cm} \times 200 = 3300 \, \text{cm} = 33 \, \text{m}\)

Therefore, the actual dimensions of the parking area are \(13 \, \text{m} \times 33 \, \text{m}\).

### Step 2: Calculate the number of parking lots that can fit in the area.
The landlord wants to create parking lots with dimensions \(2.5 \, \text{m} \times 5 \, \text{m}\) per lot.

1. **Number of lots along the width**:
   \[
   \frac{13 \, \text{m}}{2.5 \, \text{m}} = 5.2 \Rightarrow 5 \, \text{lots (since we need a whole number)}
   \]

2. **Number of lots along the length**:
   \[
   \frac{33 \, \text{m}}{5 \, \text{m}} = 6.6 \Rightarrow 6 \, \text{lots (again rounding down)}
   \]

Thus, we can fit \(5 \times 6 = 30\) parking lots in this area.

### Step 3: Calculate the maximum parking fee collection in one hour.
The parking fee is RM3.00 per hour for each vehicle.

\[
30 \, \text{lots} \times 3 \, \text{RM/lot} = 90 \, \text{RM}
\]

### Final Answer:
The maximum parking fee collection in one hour is **RM90.00**.

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Would you like more detailed explanations on any part of the solution?

Here are some related questions:
1. How would the calculation change if the parking fee increased to RM5 per hour?
2. What would happen to the total if the dimensions of each parking lot were increased slightly?
3. How could we estimate the total collection over a full day of parking?
4. What if the scale was 1:100 instead of 1:200?
5. How would adding an additional walkway impact the number of parking spaces?

**Tip:** Always check for potential rounding issues when dealing with real-world applications, as even minor adjustments can affect the final total.

Calculate the maximum parking fee collection, in RM, that can be obtained in an hour given the scale drawing of a parking area and the intended parking lot dimensions and fee rate.

Learn how to determine the maximum hourly parking fee collection for a parking area based on a scale drawing with dimensions 1:200. This problem involves scaling, area calculation, and determining the number of parking lots that can fit in a defined space, using a fee of RM3.00 per lot. Suitable for Grades 9-11.

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