9th Class Mathematics Areas of Parallelograms and Triangles Question Bank Area of Parallelogram & Triangle

  • question_answer
    Direction: Each of the questions Mow consists of a questions followed by statements. You have to study the questions and the statements and decide which of the statement (s) is/are necessary to answer the question?
    What is the area of rectangular field?
    (I) The perimeter of the field is 110 metres.
    (II) The length is 5 metres more than the width.
    (III) The ratio between length and width is 6:5 respectively.

    A)  I and II only                      

    B)  Any two of the three

    C)  I, and either II or III only          

    D)  None of these

    Correct Answer: B

    Solution :

    (b): I. \[1.2(l+b)=110\Rightarrow l+b=55\] II. \[l=(b+5)\Rightarrow l-b=5.\] III. \[\frac{l}{b}=\frac{6}{5}\Rightarrow 5l-6b=0\] These are three equations in l and b. We may solve then pair wise. \[\therefore \]Any two of the three will give the answer. \[\therefore \]Correct answer is (b).


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