A square garden of side $15$ m has a path of width $1$ m around it (outside). The area of the path is

A square garden of side $15$ m has a path of width $1$ m around it (outside). The area of the path is
  1. $64$ m$^{2}$
  2. $60$ m$^{2}$
  3. $30$ m$^{2}$
  4. $256$ m$^{2}$

Solution

Outer side $= 17$ m, outer area $= 289$. Inner area $= 225$. Path area $= 289 - 225 = 64$ m$^{2}$.

Asked in: IMO

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