Multiple Choice Questions on If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm the area of the rectangle is........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm the area of the rectangle is...........

Quantitative Aptitude ( CCS) Mensuration 2D
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    If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, the area of the rectangle is.

    125 cm2

    Incorrect Answer

    130 cm2

    Incorrect Answer

    120 cm2

    Correct Answer

    111 cm2

    Incorrect Answer
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    Explanation:

    2(l + b) = 46 => (l + b) = 23
    √(l2 + b2) = 17
    => (l2 + b2) = 289
    (l2 + b2) = (l + b)2 - 2lb
    => 289 = (232 - 2lb)
    => 2lb = (23)2 - 289 =(529 -289) = 240
    => lb = 120
    Area = 120 cm2

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