An investment club has been able to purchase 12,000 m squared of land for an establishment Malaysia Park the park will have a variety of relaxation points including a swimming pool and then a parking area the swimming pool will be rectangular measuring from it as by 3 m surrounded by a dick of uniform with better area of the swimming pool and the dick will be 100 120 km the space of 400 m is to be reserved for parking a car requires 5 m squared and a van requires 20 m squared of space the car park attendant can only handed 50 vehicles each car will be charged 4,000 to be charged 5000 to serve with a Visa bitter when asha is enough to attend at most 10 visitors and for every addition of five visitors and extraasha will be required

Let's break down the problem into smaller components to address the various aspects of the park, including the area allocation, parking space, and staffing requirements.

### 1. **Area Calculations**
   - **Total Land Area**: 12,000 m²
   - **Swimming Pool**: The dimensions of the swimming pool are missing in your text. Please provide the length and width so we can calculate the area.
   - **Deck Area**: The deck surrounds the pool and has a uniform width. The total area of the pool and the deck combined is 1000 m² (assuming your text meant this).
   - **Parking Area**: 400 m²

### 2. **Deck and Pool Area Calculation**
   If the area of the pool and the deck is 1000 m², and assuming the deck surrounds the pool uniformly:
   - Let the dimensions of the pool be \( l \times w \) (length × width), and the uniform width of the deck be \( d \).
   - The area of the pool is \( l \times w \).
   - The area of the deck is the total area minus the area of the pool: \( 1000 - (l \times w) \).

   Since \( d \) is the width of the deck, the total area (pool + deck) can also be represented as:
   \[
   (l + 2d) \times (w + 2d) = 1000
   \]

### 3. **Parking Space Calculations**
   - **Total Parking Area**: 400 m²
   - **Space Requirements**:
     - **Car**: 5 m² per car
     - **Van**: 20 m² per van

   The number of vehicles that can fit in 400 m² depends on the combination of cars and vans. We also know the attendant can handle a maximum of 50 vehicles.

   Let \( x \) be the number of cars and \( y \) be the number of vans. Then:
   \[
   x + y \leq 50
   \]
   \[
   5x + 20y \leq 400
   \]
   You can solve this system of inequalities to find possible combinations of cars and vans.

### 4. **Revenue Calculations**
   - **Car Charge**: 4000 (currency not specified, assuming it’s the local currency)
   - **Van Charge**: 5000
   - **Maximum Vehicle Capacity**: 50 vehicles
   - **Total Revenue**: This depends on the number of cars and vans parked.

   If \( x \) cars and \( y \) vans are parked, the revenue \( R \) can be calculated as:
   \[
   R = 4000x + 5000y
   \]

### 5. **Staffing Requirement**
   - **Attendant Capacity**: Can handle 50 vehicles, and an usher can attend to 10 visitors. For every additional 5 visitors, an extra usher is needed.

   To determine the number of ushers required, the number of visitors \( v \) needs to be calculated. If the total number of vehicles equals 50, and assuming each vehicle brings a certain number of visitors, the staffing requirement can be calculated accordingly.

### 6. **Summary of Equations**
   - **Pool & Deck Area**:
     \[
     (l + 2d) \times (w + 2d) = 1000
     \]
   - **Parking Space**:
     \[
     5x + 20y \leq 400 \quad \text{and} \quad x + y \leq 50
     \]
   - **Revenue**:
     \[
     R = 4000x + 5000y
     \]

Would you like to go through the detailed solution or calculations for any of these steps?

### 5 Related Questions:
1. How do you calculate the exact dimensions of the swimming pool and deck?
2. How do you solve the system of inequalities to determine the maximum number of cars and vans?
3. What is the effect on revenue if the number of cars and vans changes?
4. How do you determine the number of visitors based on the vehicles parked?
5. How would the staffing requirement change with the number of visitors?

**Tip**: When dealing with systems of inequalities, graphing them can provide a visual solution and help understand the feasible region for possible values.

Explore a detailed mathematical analysis of establishing a park with a swimming pool, deck, and parking area. Learn about calculating areas, optimizing space for vehicles, and staffing requirements. Suitable for advanced high school students and those interested in practical geometry and systems of equations.

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