The area of a rectangular playground is 300 sq m. If the breadth of the field is 15 m, find the length of the field.

Options

A. 20 m
B. 11 m
C. 25 m
D. 10 m

Answer

To find the length of the rectangular playground, we can follow these steps:

### Step 1: Understand the formula for the area of a rectangle.
The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{Length} \times \text{Breadth} \]

### Step 2: Substitute the known values into the formula.
We know the area \( A = 300 \, \text{sq m} \) and the breadth \( B = 15 \, \text{m} \). We need to find the length \( L \).
\[ 300 = L \times 15 \]

### Step 3: Rearrange the equation to solve for length.
To find the length \( L \), we can rearrange the equation:
\[ L = \frac{A}{B} \]
Substituting the known values:
\[ L = \frac{300}{15} \]

### Step 4: Perform the division.
Now we will calculate \( \frac{300}{15} \):
\[ L = 20 \]

### Step 5: State the final answer.
The length of the rectangular playground is:
\[ \text{Length} = 20 \, \text{m} \]

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