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  • Question
  • A rectangular carpet has an area of 60 sq. m. Its diagonal and longer side together equal 5 times the shorter side, The length of the carpet is?


  • Options
  • A. 5 m
  • B. 12 m
  • C. 13 m
  • D. 14.5 m

  • Correct Answer
  • 12 m 

    Explanation

    Let the longer side = l, shorter side = b and diagonal = d
    Then, area of rectangular carpet = l x b = 60 ....(1)

    And from question d + l = 5b
    ? d = 5b - l ...(2)
    ? d2 = 25b2 + l2 - 10 x lb
    ? l2+ b2 = 25b2 + l2 - 10 x lb
    ? l2+b2 = 25b2 + l2 - 10 x 60
    ? 24b2 = 600
    ? b = ?25 = 5 m
    ? l = 60 / b = 60 / 5 = 12 m


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    • 2. 
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      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

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    • Options
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