The area of a rectangle is 42sq.cm and its length is 7cm. Find its perimeter.
A. 14 cm
B. 21cm
C. 26 cm
D. 24 cm

Options

A. D
B. B
C. C
D. A

Answer

To find the perimeter of the rectangle, we can follow these steps:

### 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 the area \( A = 42 \, \text{cm}^2 \) and the length \( L = 7 \, \text{cm} \). We can substitute these values into the area formula:
\[ 42 = 7 \times \text{breadth} \]

### Step 3: Solve for the breadth
To find the breadth \( B \), we can rearrange the equation:
\[ \text{breadth} = \frac{42}{7} \]
Calculating this gives:
\[ \text{breadth} = 6 \, \text{cm} \]

### Step 4: Calculate the perimeter
The perimeter \( P \) of a rectangle is given by the formula:
\[ P = 2 \times (\text{length} + \text{breadth}) \]
Substituting the values we have:
\[ P = 2 \times (7 + 6) \]
Calculating this gives:
\[ P = 2 \times 13 = 26 \, \text{cm} \]

### Final Answer
The perimeter of the rectangle is \( 26 \, \text{cm} \).

### Options
The correct option is C. 26 cm.

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