The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in `cm^(2)`) .
(A)60
(b)240
(c)120
(d)180

Options

A. 60
B. 240
C. 120
D. 180

Answer

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

### Step 1: Write down the formulas
The perimeter \( P \) of a rectangle is given by the formula:
\[ P = 2L + 2B \]
where \( L \) is the length and \( B \) is the breadth.

### Step 2: Substitute the known values
We know the perimeter \( P = 44 \) cm and the breadth \( B = 10 \) cm. Substitute these values into the perimeter formula:
\[ 44 = 2L + 2(10) \]

### Step 3: Simplify the equation
Now simplify the equation:
\[ 44 = 2L + 20 \]

### Step 4: Solve for the length \( L \)
Subtract 20 from both sides:
\[ 44 - 20 = 2L \]
\[ 24 = 2L \]
Now divide both sides by 2:
\[ L = \frac{24}{2} = 12 \text{ cm} \]

### Step 5: Calculate the area
The area \( A \) of a rectangle is given by the formula:
\[ A = L \times B \]
Substituting the values of \( L \) and \( B \):
\[ A = 12 \times 10 = 120 \text{ cm}^2 \]

### Conclusion
The area of the rectangle is \( 120 \text{ cm}^2 \).

### Answer
Thus, the correct option is (C) 120.

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