Answer : Option A

Explanation :

Given that breadth of a rectangular field is 60% of its length

$MF#%\Rightarrow b = \dfrac{60l}{100} = \dfrac{3l}{5}$MF#%

$MF#%\begin{align}
&\Rightarrow 2\left(l + \dfrac{3l}{5} \right) = 800\\\\
&\Rightarrow l + \dfrac{3l}{5} = 400\\\\
&\Rightarrow \dfrac{8l}{5} = 400\\\\
&\Rightarrow \dfrac{l}{5} = 50\\\\
&\Rightarrow l = 5 \times 50 = 250\text{ m}\\\\\\\\
&\text{b = }\dfrac{3l}{5} = \dfrac{3 \times 250}{5} = 2 \times 50 = 150\text{ m}\\\\
&\text{Area = lb = }250 \times 150 = 37500\text{ m}^2
\end{align} $MF#%