A) \[\text{9375 }{{\text{m}}^{\text{2}}}\]
B) \[\text{9205 }{{\text{m}}^{\text{2}}}\]
C) \[\text{9365 }{{\text{m}}^{\text{2}}}\]
D) \[\text{9400 }{{\text{m}}^{\text{2}}}\]
E) None of these
Correct Answer: A
Solution :
Perimeter\[=2(5x+3x)=\text{1}6x\] Distance covered by the man \[=6\times \frac{5}{18}\times (4\times 60)=400m\] Now, \[16x=400\] \[\therefore x=\frac{400}{16}-25m\] \[\therefore \] Area of the rectangular field \[5x\times 3x\] \[=15{{x}^{2}}\] \[=15\times {{(25)}^{2}}=9375{{m}^{2}}\]
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