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Railways PYQCBT 1 2016

RRB NTPC · Question 28

If the length of the diagonal of a rectangle and half its perimeter are 11 cm and 13 cm respectively, what is its area? A. 12 square cm B. 48 square cm C. 36 square cm D. 24 square cm

  1. D

  2. A

  3. C

  4. B

Show answer & explanation

Answer: (A) D

Explanation

Let the sides be l and b. l + b = 13 and l² + b² = 11² = 121. Then 2lb = (l + b)² − (l² + b²) = 169 − 121 = 48, so the area lb = 24 sq cm.