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In a rectangle , the sum of the length a...

In a rectangle , the sum of the length and breadth is 'a' units . The perimeter of the rectangle is __________.

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To find the perimeter of a rectangle when the sum of its length and breadth is given, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Variables**: Let the length of the rectangle be denoted as \( L \) and the breadth as \( B \). 2. **Set Up the Equation**: According to the problem, the sum of the length and breadth is given as: \[ L + B = a \] 3. **Recall the Formula for Perimeter**: The formula for the perimeter \( P \) of a rectangle is: \[ P = 2 \times (L + B) \] 4. **Substitute the Known Sum**: Since we know that \( L + B = a \), we can substitute \( a \) into the perimeter formula: \[ P = 2 \times (L + B) = 2 \times a \] 5. **Final Answer**: Therefore, the perimeter of the rectangle is: \[ P = 2a \]
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