Answer:
The total area of the farm land is 2520 sq. m
Step-by-step explanation:
Let us assume the total area of the farm land = P sq. m
Now, two thirds of the area of a farm land was covered by wheat fields.
So, the area covered in Wheat field = [tex]\frac{2}{3} \times P = (\frac{2}{3})P[/tex]
The area left which is not covered in wheat
= Total land - Land covered in Wheat
= [tex]P - (\frac{2}{3}) P = (\frac{1}{3})P[/tex]
Also, the half of the remaining land is covered by pound.
So, the area covered in pound = [tex]\frac{1}{2} \times (\frac{P}{3} ) = (\frac{P}{6} )[/tex]
The other half is empty garden.
⇒The area empty garden = [tex]\frac{1}{2} \times (\frac{P}{3} ) = (\frac{P}{6} )[/tex]
Also, the area of the garden = 420 sq. m
⇒[tex](\frac{P}{6}) = 420\\\implies P = 6 \times 420 = 2520[/tex]
or, P = 2520 sq. m
Hence, the total area of the farm land is 2520 sq. m
