Find all the possible dimensions (in natural numbers) of a rectangle with a perimeter 36cm and find their areas.


Perimeter of rectangle = 36 cm.


2 × (l + b) = 36


l + b = 18


So l × b = 16 × 2; 14 × 4; 12 × 6 etc.


Area for l × b = 16 × 2 = 32 sq.cm


Area for second case = 14 × 4


= 56 sq.cm


Area for third case = 12 × 6


= 72 sq.cm


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