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Question


A 2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path is_____.


Options:
A .    73 m2
B .    72 m2
C .    77 m2
D .   75 m2
Answer: Option B
:
B

A 2 M Wide Path Is Built Along The Border And Inside A Squar...
Let ABCD be the square park and the region shaded in green be the path.
Here, side length of the outer square, AB = 11 m (given)
and the path is 2 m wide.
Side length of the inner square, HG
= 11 - 2 - 2 = 7 m
We know that area of a square = side2
Area of the path = Area of the outer square - Area of the inner square
=11272=12149=72 m2



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