The area of a rectangle is `650cm^(2)` and its breadth is 13cm. The perimeter of the rectangle is

Options

A. 63 cm
B. 130cm
C. 100cm
D. 126 cm

Answer

To find the perimeter of the rectangle given its area and breadth, we can follow these steps:

### Step 1: Understand the given information
- Area of the rectangle = 650 cm²
- Breadth of the rectangle = 13 cm

### Step 2: Use the formula for the area of a rectangle
The formula for the area of a rectangle is:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
We can rearrange this formula to find the length:
\[ \text{Length} = \frac{\text{Area}}{\text{Breadth}} \]

### Step 3: Substitute the known values into the formula
Now, we can substitute the values we have:
\[ \text{Length} = \frac{650 \, \text{cm}^2}{13 \, \text{cm}} \]

### Step 4: Calculate the length
Now, perform the division:
\[ \text{Length} = 50 \, \text{cm} \]

### Step 5: Use the formula for the perimeter of a rectangle
The formula for the perimeter of a rectangle is:
\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Breadth}) \]

### Step 6: Substitute the values of length and breadth into the perimeter formula
Now substitute the values we have:
\[ \text{Perimeter} = 2 \times (50 \, \text{cm} + 13 \, \text{cm}) \]

### Step 7: Calculate the perimeter
First, calculate the sum inside the parentheses:
\[ 50 \, \text{cm} + 13 \, \text{cm} = 63 \, \text{cm} \]
Now multiply by 2:
\[ \text{Perimeter} = 2 \times 63 \, \text{cm} = 126 \, \text{cm} \]

### Final Answer
The perimeter of the rectangle is **126 cm**.

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