The perimeter of a rectangle is 60 cm and its breadth is 12 cm. What is the area of the rectangle?

Options

A. `261 cms^2`
B. `263 cms^2`
C. `213 cms^2`
D. `216 cms^2`

Explanation

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

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

### Step 2: Substitute the known values into the perimeter formula.
We know that the perimeter is 60 cm and the breadth is 12 cm. Substituting these values into the formula gives:
\[ 60 = 2(L + 12) \]

### Step 3: Simplify the equation to find the length.
First, divide both sides of the equation by 2:
\[ 30 = L + 12 \]
Next, subtract 12 from both sides to solve for \( L \):
\[ L = 30 - 12 \]
\[ L = 18 \text{ cm} \]

### Step 4: Calculate the area of the rectangle.
The area (A) of a rectangle is given by the formula:
\[ A = L \times B \]
Substituting the values we found:
\[ A = 18 \times 12 \]

### Step 5: Perform the multiplication.
Calculating the area:
\[ A = 216 \text{ cm}^2 \]

### Final Answer:
The area of the rectangle is \( 216 \text{ cm}^2 \).

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