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9th Class Mathematics Related to Competitive Exam Question Bank Mensuration

  • question_answer
    The perimeter of a rectangle is equal to the perimeter of a right angled triangle of height 12 cms. If the base of the triangle is equal to the breadth of the rectangle, find the length (in cm) of the rectangle.

    A) 18                       

    B)         24

    C) 22                       

    D)        Data is inadequate

    E) None of these

    Correct Answer: D

    Solution :

    Explanation Option [d] is correct. Let length and breadth (in cms) of the rectangle resp. be 1; b. then, base of the triangle = b  \[\therefore \,\,Hypotenuse of triangle\,=\sqrt{144+{{b}^{2}}}\] \[\therefore \,\,2(l+2)=12+b+\sqrt{144+{{b}^{2}}}\] As ?b'? is not known, I can?t be obtained. \[\therefore \,\,\,Data is inadequate\]


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