10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The area of the field ABDFEA is

    A) \[\text{7225 }{{\text{m}}^{\text{2}}}\]         

    B) \[\text{723}0\text{ }{{\text{m}}^{\text{2}}}\]       

    C) \[\text{7235 }{{\text{m}}^{\text{2}}}\]         

    D) \[\text{724}0{{\text{m}}^{\text{2}}}\]         

    Correct Answer: A

    Solution :

     Area of field ABGFEA = Area of \[\Delta \,ABC+\] Area of trap. CBGH + Area of \[\Delta \,HGF+\]Area of \[\Delta \,FDE+\]Area of \[\Delta \,ADE\] \[=\frac{1}{2}\times 40\times 35+\frac{1}{2}(35+50)\times 50+\frac{1}{2}\times 50\times 50\] \[+\frac{1}{2}\times 45\times 90+\frac{1}{2}\times 50\times 45\]                 \[=700+2125+1250+2025+1125=7225{{m}^{2}}\]


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