A rectangle has area $x^{2} - 25$ sq cm and breadth $(x - 5)$ cm. Its length is

A rectangle has area $x^{2} - 25$ sq cm and breadth $(x - 5)$ cm. Its length is
  1. $(x + 5)$ cm
  2. $(x - 5)$ cm
  3. $x$ cm
  4. $(x^{2} - 5)$ cm

Solution

Length $= \dfrac{x^{2}-25}{x-5} = \dfrac{(x-5)(x+5)}{x-5} = x+5$.

Asked in: IMO

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