📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      The perimeter of a rectangular field is 42 metres and

      its area is 108 m2 . What is the length of the diagonal of this field?
      A 10 metres Correct Answer Incorrect Answer
      B 8 metres Correct Answer Incorrect Answer
      C 15 metres Correct Answer Incorrect Answer
      D 7 metres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangular field be ‘p’ metres and ‘q’ metres respectively Then, according to the question, 2 × (p + q) = 42 Or, (p + q) = 42/2 = 21…… (1) Also p × q = 108 We know, (p + q)2 = p2 + q2 + 2pq Or, p2 + q2 = 212 – 2 × 108 Or, p2 + q2 =441-216=225 So, length of the diagonal of the rectangular field = √(length2 + breadth2) = √(p2 + q2) = √225 = 15metres

      Practice Next
      More Mensuration Questions

      Relevant for Exams:

      ask-question