A) \[\text{16}\,\text{c}{{\text{m}}^{\text{2}}}\]
B) \[\text{36}\,\text{c}{{\text{m}}^{\text{2}}}\]
C) \[\text{49 c}{{\text{m}}^{\text{2}}}\]
D) \[\text{25 c}{{\text{m}}^{\text{2}}}\]
Correct Answer: A
Solution :
If \[d=\frac{1}{5}\], then\[5,\frac{26}{5},\frac{27}{5},........\frac{39}{5},8\]where\[{{S}_{14}}=\frac{14}{2}\left[ 2\left( \frac{26}{5} \right)+13\left( \frac{1}{5} \right) \right]\]and DQ are the corresponding altitudes. \[=\frac{14}{2}\left[ \frac{52+13}{5} \right]=91\]Area of the other triangle\[={{\left[ \frac{m(m+1)}{2} \right]}^{2}}=3025\]
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