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10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The area of a field surveyed is 11,200 sq. m. The readings in the given field book are in meters. The value of \[x\] will be

    A)  20 m                

    B)         30 m

    C)  40 m                      

    D)  50 m

    Correct Answer: C

    Solution :

     Area of field = Area of \[\Delta \,ABQ+\]Area of trapezium QBCS + Area of \[\Delta \,SCD+\]Area of \[\Delta \,DRF+\] + Area of trapezium ERPF + Area of \[\Delta \,APF\] \[=\frac{1}{2}.80.40+\frac{1}{2}.80(40+x)+\frac{1}{2}x.40+\frac{1}{2}.80.x\]                 \[+\frac{1}{2}.80.(40+x)+\frac{1}{2}.40.40\]                 \[=5600+140x\] \[\therefore \]  \[5600+140x=11200\] or            \[x=40\,m\]


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