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

  • question_answer
    The perimeter of a rhombus is 16 cm and the measure of an angle is \[60{}^\circ ,\] then the area of it is

    A)  \[100\sqrt{3}\]\[c{{m}^{2}}\]  

    B)  \[8\sqrt{3}\]\[c{{m}^{2}}\]

    C)  \[160\sqrt{3}\]\[c{{m}^{2}}\]              

    D)  100 \[c{{m}^{2}}\]

    Correct Answer: B

    Solution :

    (b): \[Side=\frac{16}{4}=4cm\] but, \[AB=AD=4\]cm \[\angle DAB=\angle DCB={{60}^{{}^\circ }}\] \[\therefore \]Area of the rhombus \[=2\times \frac{\sqrt{3}}{4}\times {{(4)}^{2}}\] \[=2\times \frac{\sqrt{3}}{4}\times 4\times 4=8\sqrt{3}\,c{{m}^{2}}\]    


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