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 can follow these steps:

### Step 1: Calculate the Perimeter of the Playground
The playground is rectangular, with a length (L) of 36 meters and a breadth (B) of 21 meters. The formula for the perimeter (P) of a rectangle is given by:

\[ P = 2 \times (L + B) \]

Substituting the values:

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

Calculating inside the parentheses:

\[ P = 2 \times 57 \]

Now, multiplying:

\[ P = 114 \text{ meters} \]

### Step 2: Determine the Distance Between the Poles
The poles are to be fixed at a distance of 3 meters apart.

### Step 3: Calculate the Number of Poles Required
To find the total 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:

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

Calculating the division:

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

### Conclusion
Thus, the total number of poles required is **38**.

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