Maths-
General
Easy

Question

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

hintHint:

Area of a square = side2

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

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