Area of a rectangle `= L xx B`
Perimeter of a rectangle = 2(L + B) where L and B are the length and breadth of the rectangle respectively.
Find the area of a rectangular park whose perimeter is 300 and breadth is 50 m.

Options

A. `500 m^(2)`
B. `100 m`
C. `5000m^(2)`
D. `1000 m^(2)`

Answer

To find the area of the rectangular park, we will follow these steps:

### Step 1: Understand the formulas
The formulas we need are:
- Area of a rectangle = Length (L) × Breadth (B)
- Perimeter of a rectangle = 2 × (Length + Breadth)

### Step 2: Identify the given values
From the problem, we know:
- Perimeter (P) = 300 m
- Breadth (B) = 50 m

### Step 3: Use the perimeter formula to find the length
Using the perimeter formula:
\[ P = 2(L + B) \]
Substituting the known values:
\[ 300 = 2(L + 50) \]

### Step 4: Simplify the equation
Divide both sides by 2:
\[ 150 = L + 50 \]

### Step 5: Solve for Length (L)
Now, subtract 50 from both sides:
\[ L = 150 - 50 \]
\[ L = 100 \text{ m} \]

### Step 6: Calculate the area
Now that we have both the length and the breadth, we can calculate the area:
\[ \text{Area} = L × B \]
Substituting the values:
\[ \text{Area} = 100 × 50 \]
\[ \text{Area} = 5000 \text{ m}^2 \]

### Final Result
The area of the rectangular park is **5000 m²**.

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