CLAT Sample Paper CLAT Sample Paper-7

  • question_answer
    ABCD is a trapezium in which \[AB||CD,\] if \[AB=7\,cm,\,\,DC=3\,cm\] cm and the area of the trapezium is 18 cm2, then the area of ABCD is

    A)  \[8\frac{2}{5}\text{c}{{\text{m}}^{\text{2}}}\]

    B)  \[7\frac{2}{5}\,{{\operatorname{cm}}^{2}}\]

    C)  \[5\frac{2}{5}\,{{\operatorname{cm}}^{2}}\]

    D)  \[6\frac{2}{5}\,{{\operatorname{cm}}^{2}}\]

    Correct Answer: C

    Solution :

    Area of trapezium \[=\frac{1}{2}\,(7+3)\times h\] \[\Rightarrow \] \[18=\frac{1}{2}\times 10\times h\] \[h=\frac{18}{5}\,cm\] \[\therefore \] Area of \[\Delta BCD=\frac{1}{2}\times 3\times \frac{18}{5}=5\frac{2}{5}\,c{{m}^{2}}\]

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