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

  • question_answer
    Sides of a parallelogram are in the ratio 5 : 4. Its area is 1000 sq. units. Altitude on the greater side is 20 units. Altitude on the smaller side is

    A)  30 units                       

    B)  25 units   

    C)  10 units          

    D)  15 units

    Correct Answer: B

    Solution :

    (b): Let the sides of parallelogram be\[5x\]and\[4x\] \[Base\times Height=Area\text{ }of\text{ }parallelogram\] \[5x\times 20=1000\Rightarrow x=\frac{1000}{5\times 20}=10\] \[\Rightarrow \] sides = 50 and 40 units \[\therefore 40\times h=1000\Rightarrow h\text{ =}\frac{1000}{40}=25\]units      


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