Question

A square field with side $30m$ is surrounded by a path of uniform width. If the area of the path is $256m^2$, its width(in m) is .......

Answer 1

Area of the outer square
$={30}^2+256=900+256$
$=1156={\left(34\right)}^2$
$\therefore$ Side of the outer square $=34=30+2x$
$\therefore$ $x=2$ where $x$ is the width.