A) \[1:16\,\,{{x}^{2}}\]
B) \[1:4\,\,{{x}^{2}}\]
C) \[4:\,{{x}^{2}}\]
D) \[1:8\,{{x}^{2}}\]
Correct Answer: B
Solution :
We know that, if two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. So, \[\frac{Area\text{ }of\text{ I}st\text{ }Paralle\log ram}{Area\text{ }of\text{ }IInd\text{ }Parallelogram}\] \[=\,\,{{\left( \frac{1}{2x} \right)}^{2}}=\frac{1}{4{{x}^{2}}}=\underline{\mathbf{1:4}{{\mathbf{x}}^{\mathbf{2}}}}\]
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