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

Options

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

Answer

To solve the problem step by step, we need to find the number of flagstaffs required to be fixed along the boundary of a rectangular playground.

### Step 1: Calculate the Perimeter of the Playground
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:
\[ P = 2 \times (36 \, \text{m} + 21 \, \text{m}) = 2 \times 57 \, \text{m} = 114 \, \text{m} \]

### Step 2: Determine the Distance Between Flagstaffs
The distance between each flagstaff is given as 3 m.

### Step 3: Calculate the Number of Flagstaffs
To find the number of flagstaffs, we divide the perimeter by the distance between the flagstaffs:
\[ \text{Number of Flagstaffs} = \frac{P}{\text{Distance between flagstaffs}} = \frac{114 \, \text{m}}{3 \, \text{m}} = 38 \]

### Conclusion
The total number of flagstaffs required is **38**.

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