In the given square, a diagonal is drawn and parallel line segments joining points on the adjace... VIDEO
In the given square, a diagonal is drawn and parallel line segments joining points on the adjacent sides are drawn on both sides of the diagonal. The length of the diagonal is \( n \sqrt{2} \mathrm{~cm} \). If the distance between consecutive line segments be \( \frac{1}{\sqrt{2}} \mathrm{~cm} \) then the sum of the lengths of all possible line segments and the diagonal is
(a) \( n(n+1) \sqrt{2} \mathrm{~cm} \)
(b) \( n^{2} \mathrm{~cm} \)
(c) \( n(n+2) c m \)
(d) \( n^{2} \sqrt{2} \mathrm{~cm} \)
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