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8th Class Mathematics Understanding Quadrilaterals Question Bank Understanding Quadrilaterals

  • question_answer
    . The theatre in the town is built in the form of a kite. Its perimeter is 100 m. If one of its sides is 20 m, what are the lengths of other sides?

    A)  20 m, 30m, 30m

    B)  30 m, 40 m, 40m

    C)  20m, 40m, 32m

    D)  30 m, 40 m, 50m

    Correct Answer: A

    Solution :

    Let ABCD be the theatre in which AB = AD = 20 m and let SC = CD = x m Perimeter of the theatre =100 m \[\Rightarrow 100=AB+BC+CD+DA\] \[100=(20+x+x+20)m\] \[\Rightarrow 40+2x=100\Rightarrow (20+x)=50\] \[\Rightarrow x=30m\] So, AB = AD = 20 m and BC = CD = 30 m


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