• # question_answer The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr, he takes 8 minutes to complete one round. What is the area (in square metres) of the park? A) $15360\,\,{{m}^{2}}$            B) $153600\,\,{{m}^{2}}$C) $30720\,\,{{m}^{2}}$            D) $307200\,\,{{m}^{2}}$

Suppose length and breadth of a rectangular park is 3x and 2x respectively. Then,    $2\,\,(3x+2x)=12\times \frac{5}{18}\times 8\times 60$ $10x=1600$ $x=160$ Now, area of the park$=6{{x}^{2}}$ $=6\times {{(160)}^{2}}$ $=153600\,\,{{m}^{2}}$