The perimeter of a rectangle is (96) cm and its length is (12) cm more than its breadth. What is the area of the rectangle?

Correct answer: 540

Let the length and breadth of the rectangle be \(l\) cm and \(b\) cm. Since the perimeter is \(96\) cm, \(2(l+b)=96\), so \(l+b=48\). Also, \(l-b=12\). Adding these equations gives \(2l=60\), hence \(l=30\) and \(b=18\). Therefore, the area is \(l\times b=30\times18=540\) square cm. Option 560 does not correspond to this required pair of length and breadth. Exam tip: In perimeter questions, first divide \(2(l+b)\) by 2 to obtain \(l+b\).