If a rectangle has breadth 11 m and area 264 sq. m, what is the length of the rectangle? Also, find the perimeter of the rectangle.

Answer

To solve the problem step by step, we will first find the length of the rectangle using the area formula, and then we will calculate the perimeter.

### Step 1: Understand the formula for the area of a rectangle.
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{length} \times \text{breadth} \]

### Step 2: Substitute the known values into the area formula.
We know:
- Area \( A = 264 \, \text{sq. m} \)
- Breadth \( b = 11 \, \text{m} \)

Using the area formula:
\[ 264 = \text{length} \times 11 \]

### Step 3: Solve for the length.
To find the length, we can rearrange the equation:
\[ \text{length} = \frac{264}{11} \]

Now, perform the division:
\[ \text{length} = 24 \, \text{m} \]

### Step 4: Calculate the perimeter of the rectangle.
The formula for the perimeter \( P \) of a rectangle is:
\[ P = 2 \times (\text{length} + \text{breadth}) \]

Substituting the values we have:
\[ P = 2 \times (24 + 11) \]

### Step 5: Simplify the expression for the perimeter.
First, calculate the sum inside the parentheses:
\[ 24 + 11 = 35 \]

Now, multiply by 2:
\[ P = 2 \times 35 = 70 \, \text{m} \]

### Final Answer:
- Length of the rectangle: \( 24 \, \text{m} \)
- Perimeter of the rectangle: \( 70 \, \text{m} \)

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