The length and breadth of a playground are 36m and 21 m respectively. Poles are required to be fixed all along the boundary at a distance 3m apart. The number of poles required will be

Options

A. 39
B. 38
C. 37
D. 40

Answer

To find the number of poles required to be fixed along the boundary of the playground, we will follow these steps:

### Step 1: Calculate the Perimeter of the Playground
The playground is in the shape of a rectangle. The formula for the perimeter (P) of a rectangle is given by:

\[ P = 2 \times ( \text{Length} + \text{Breadth} ) \]

Given:
- Length = 36 m
- Breadth = 21 m

Substituting the values into the formula:

\[ P = 2 \times (36 + 21) \]

### Step 2: Simplify the Calculation
Now, we will simplify the expression inside the parentheses:

\[ 36 + 21 = 57 \]

Now substituting this back into the perimeter formula:

\[ P = 2 \times 57 \]

### Step 3: Calculate the Perimeter
Now, we will calculate the perimeter:

\[ P = 2 \times 57 = 114 \text{ m} \]

### Step 4: Determine the Number of Poles Required
The poles are to be fixed at a distance of 3 m apart along the perimeter. To find the number of poles required, we divide the perimeter by the distance between the poles:

\[ \text{Number of poles} = \frac{P}{\text{Distance between poles}} \]

Substituting the values:

\[ \text{Number of poles} = \frac{114}{3} \]

### Step 5: Calculate the Number of Poles
Now, we will perform the division:

\[ \text{Number of poles} = 38 \]

### Final Answer
Therefore, the number of poles required to be fixed along the boundary of the playground is **38 poles**.

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