REET Feb 16 p1, Q99

0. The diagonal of a rectangle field is 17 m and its perimeter is 46 m. What is the area of the field?

  • Option : B
  • Explanation : Given, 2(l + b) = 46
    l + b = 23 ... (i)
    and l2 + b2 = (17)2 = 289 ... (ii) (By Pythagoras Theorem)
    Now, (l + b)2 = 232
    ⇒ l2 + b2 + 2lb = 529
    ⇒ 289 + 2lb = 529
    ⇒ 2lb = 529 - 289 = 240
    ⇒ lb = 120
    ⇒ Area = lb =120 sq m.
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