A) 120 m
B) 150 m
C) 90 m
D) 135 m
Correct Answer: A
Solution :
Area of equilateral triangle \[=\frac{\sqrt{3}}{4}\times {{(Side)}^{2}}\] \[\Rightarrow \] \[\frac{\sqrt{3}}{4}\times {{(Side)}^{2}}=400\sqrt{3}\] \[\Rightarrow \] \[{{(Side)}^{2}}=\frac{400\sqrt{3}\times 4}{\sqrt{3}}\] \[\therefore \] Side \[=\sqrt{4\times 400}=40\,m\] \[\therefore \] Perimeter \[=3\times side\] \[=3\times 40=120\,m\]
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