What is the length of the diagonal of the rectangle?

    I. The length of the rectangle is 120% more than its breadth.

    II. The perimeter of the rectangle is 32m. The difference between length and breadth of the rectangle is 6m.

  • If the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question
  • If the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.
  • If the data in both the statements I and II together are sufficient to answer the question.
  • If the data either in statements I or in statement II alone are sufficient to answer the question.
  • If the data in both the statements together are not sufficient to answer the question.
  • Explanation:

    From Statement II

    Let the length of a rectangle be l and beadth be b.

    It is given that,

    l –b =6

        and 2(l+b) = 32

        l +b=16

    Solving both the equations we get,

        l=11

        b=5

    The length of the diagonal of the rectangle

    =√l2+b2= √(11)2+(5)2

    =√146


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