What will be the length of the Hypotenuse of the Table? If

The perimeter of a top surface of a rectangular table is 28 m and its area is 48 m2. What is the length of the hypotenuse of the table?

  1. 12.5m
  2. 5 m
  3. 10 m
  4. 12 m
Monis Rasool Professor Asked on 14th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (3) 10 m

    Explanation:-
    The perimeter of a top surface of e rectangular table = 28 m

    Formula-
    The perimeter of the rectangular table = 2 (l + b)

    Then, 2(l + b) = 28
    l + b = 28/2
    l + b = 14        ……………………………………………….. (1)
    Area of surface of the rectangular table = 48 m2
    Then, lb = 48
    l = 48/b
    Put the value of l = 48/b in equation (1),
    Then, 48/b + b = 14
    (48 + b2) /b = 14
    48 + b2 = 14b
    b2 – 14b + 48 = 0
    b2 – 8b – 6b + 48 = 0
    b (b – 8) – 6 (b – 8) = 0
    (b – 8) (b – 6) = 0
    b – 8  = 0  &  b – 6 = 0
    b = 8  & b = 6
    Then, l = 48/6 = 8

    l = 8 cm & b = 6 m

    Hypotenuse of the rectangular surface of the table = (82 + 62)1/2
    = (64 + 36)1/2
    = (100)1/2
    = 10 m

    Then, the hypotenuse of the table is 10 m.

    Hence, the answer is (3) 10 m.

    Anurag Mishra Professor Answered on 15th September 2015.
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