A) \[364\,\,\text{c}{{\text{m}}^{2}}\]
B) \[374\,\,\text{c}{{\text{m}}^{2}}\]
C) \[384\,\,\text{c}{{\text{m}}^{2}}\]
D) \[394\,\,\text{c}{{\text{m}}^{2}}\]
Correct Answer: C
Solution :
Let the other diagonal be 2x. So, in \[\Delta AOB,\]\[{{(20)}^{2}}={{(12)}^{2}}+{{x}^{2}}\] \[\Rightarrow \]\[{{x}^{2}}=400-144\] \[\Rightarrow \] \[{{x}^{2}}=256\]\[\Rightarrow \]\[x=16\,\,\text{cm}\] \[\therefore \] Other diagonal \[=2x=32\,\,\text{cm}\] \[\therefore \] \[\text{Area}=\frac{1}{2}\times {{d}_{1}}{{d}_{2}}\] \[=\frac{1}{2}\times 24\times 32=384\,\,\text{c}{{\text{m}}^{2}}\]You need to login to perform this action.
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