ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    The perimeter of a rectangular field is 20 metres and

    its area is 18 m2 . What is the length of the diagonal of this field?
    A 10 metres Correct Answer Incorrect Answer
    B 11 metres Correct Answer Incorrect Answer
    C 8 metres Correct Answer Incorrect Answer
    D 7 metres Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the rectangular field be тАШpтАЩ metres and тАШqтАЩ metres respectively Then, according to the question, 2 ├Ч (p + q) = 20 Or, (p + q) = 20/2 = 10тАжтАж (1) Also p ├Ч q = 18 We know, (p + q)2 = p2 + q2 + 2pq Or, p2 + q2 = 102 тАУ 2 ├Ч 18 Or, p2 + q2 = 64 So, length of the diagonal of the rectangular field = тИЪ(length2 + breadth2) = тИЪ(p2 + q2) = тИЪ64 = 8 metres

    Practice Next
    More Mensuration Questions

    Relevant for Exams:

    ask-question