What is the area of a uniform path of width 2m along the outside of a square plot of land of length 20 m?

The correct answer is: ∴ Area of the given uniform path is 176 m2.

Step-by-step solution:-
As per given information-
 Side of the inner square plot = 20 m
 Area of the inner plot = Side²
∴  Area of the inner plot = 20²
∴  Area of the inner plot = 400 m² ............................................ (Equation i)
 Looking at the adjacent figure,
 For the outer square-
 Side = Side of the inner plot + 2 (width of the path)
∴  Side = 20 + 2 (2)
∴  Side = 20 + 4
∴ Side = 24 ............................................................................. (Equation ii)
Area of the outer square = side²
∴  Area of the outer square = 24² ............................................. (From Equation ii)
∴  Area of the outer square = 576 m² ....................................... (Equation iii)
Area of the path = Area of the outer square - Area of the inner plot
∴  Area of the path = 576 - 400
∴  Area of the path = 176 m²