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CDS 2022 · PYQ · Mensuration · medium

A square sheet is formed by joining n identical square sheets of same size. If the length of the diagonal of the bigger square sheet so formed is m, then what is the side length of a smaller square sheet?

  1. A.m/√n
  2. B.m/√(2n)✓ Correct
  3. C.m/(2√n)
  4. D.√2 m/√n

Explanation

Big square side = √n · s (where s is small side). Diagonal = √n·s·√2 = m. So s = m/(√(2n)).
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