Question

In a given square, a diagonal is drawn and parallel line segments joining points on the adjacent sides are drawn on both sides of the diagonals. The length of the diagonal is n√2 cm. If the distance between consecutive line segments is 1/√2 cm, then the sum of the lengths of all possible line segments and the diagonal is

(A) n(n + 1)√2 cm

(B) n2 cm

(C) n(n + 2) cm

(D) n2√2cm

Answer 1

Correct option**(D) n2√2cm**

Distance between vertex and diagonal is n/√2 cm. So the sum of distance of all such lines is