9th Class Mathematics Areas of Parallelograms and Triangles Question Bank Areas of Parallelograms and Triangles

  • question_answer
    One of the diagonals of a quadrilateral is 16 cm. The perpendiculars drawn to it from its opposite vertices are 2.6 cm and 1.4 cm. Find its area.

    A) \[32\text{ }c{{m}^{2}}\]                             

    B) \[~40\text{ }c{{m}^{2}}\] 

    C)   \[~26\text{ }c{{m}^{2}}\]             

    D)   \[28\text{ }c{{m}^{2}}\]

    Correct Answer: A

    Solution :

    Given diagonal \[d=6cm.\] \[{{h}_{1}}=2.6\,cm\]and \[{{h}_{2}}=1.4\,cm.\] Area\[=\frac{1}{2}d({{h}_{1}}+{{h}_{2}})\] \[=\frac{1}{2}\times 16\times (2.6+1.4)=8\times 4=32\,c{{m}^{2}}\]


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