If sum of the distances of a point from two perpendicular lines in a plane is1, then its locus is

Let the two perpendicular lines be taken as the coordinate axes. if (h,k) be any point on the locus, then according to the given condition |h|+|k|=1Hence, the locus of (h, k) is |x|+|y|=1 . This consists of four line segments enclosing a square as shown in the figure below.