The perimeter of a rectangle is 25.5 m. Its length is 9.5 m. Calculate its area in sq. m `(m^(2))`.

Answer

To solve the problem step by step, we will follow the process outlined in the video transcript:

### Step 1: Understand the given information
We are given:
- Perimeter of the rectangle (P) = 25.5 m
- Length of the rectangle (L) = 9.5 m

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

### Step 3: Substitute the known values into the perimeter formula
Substituting the known values into the perimeter formula:
\[ 25.5 = 2(9.5 + B) \]

### Step 4: Simplify the equation
To isolate \( B \), first divide both sides by 2:
\[ 9.5 + B = \frac{25.5}{2} \]
Calculating the right side:
\[ 9.5 + B = 12.75 \]

### Step 5: Solve for the breadth (B)
Now, subtract 9.5 from both sides to find \( B \):
\[ B = 12.75 - 9.5 \]
Calculating this gives:
\[ B = 3.25 \, \text{m} \]

### Step 6: Calculate the area of the rectangle
The area (A) of a rectangle is given by the formula:
\[ A = L \times B \]
Substituting the values of \( L \) and \( B \):
\[ A = 9.5 \times 3.25 \]

### Step 7: Perform the multiplication
Calculating the area:
\[ A = 30.875 \, \text{m}^2 \]

### Final Answer
The area of the rectangle is \( 30.875 \, \text{m}^2 \).

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