A) 206
B) 216
C) 432
D) 108
Correct Answer: B
Solution :
[b] Let the length of second diagonal of rhombus be d cm. thus, \[\sqrt{{{d}^{2}}+{{24}^{2}}}=2\times \left( \frac{60}{4} \right)\] \[\Rightarrow \] \[\sqrt{{{d}^{2}}+576}=2\times 15\] \[\Rightarrow \] \[{{d}^{2}}+576=4\times 225\] \[\Rightarrow \] \[{{d}^{2}}=900-476\]\[\Rightarrow \]\[{{d}^{2}}=324\] \[\therefore \] \[d=18\,cm\] Then, area of rhombus \[=\frac{1}{2}\times \]Multiplication of diagonals \[=\frac{1}{2}\times 18\times 24=9\times 24=216\,sq\,cm\] |
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