Question

Expenditure incurred in cultivating a square field at the rate of Rs. $170$ per hectare is Rs. $680$. What would be the cost of fencing the field at the rate of Rs. $3$ per meter?

• A. Rs. $2400$
• B. Rs. $3600$
• C. Rs. $3000$
• D. Rs. $2000$

Answer 1

The correct option is A Rs. $2400$

Total cost of cultivation$=$Rs.$680$

Cost per hectare$=$Rs. $170$

$\therefore$Area of cultivation$=\frac{680}{170}=4$ hectare$=4\times {10}^4{m}^2$

Now, field's shape is square, therefore area $=side\times side$

$\Rightarrow 4\times {10}^4={\left(side\right)}^2$

$\Rightarrow$ side$=\sqrt{4\times {10}^4}=200m$

Perimeter of field$=4\times 200=800m$

$\therefore$ Cost of fencing $800m=$ Rs.$(3\times 800)=$ Rs.$2400$