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in the given square, a diagonal is drawn...

in the given square, a diagonal is drawn, and parallel line segments joining points onthe adjacent sides are drawn on both sides of the diagonal. The length of the diagonal `nsqrt2 cm`. If the distance between consecutive line segments be `1/sqrt2 cm`, then thesum of the lengths of all possible line segments and the diagonal is:

A

`n(n+1)sqrt(2)` cm

B

`n^(2)` cm

C

`n(n+2)`cm

D

`n^(2)sqrt(2)`cm

Text Solution

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The correct Answer is:
D
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