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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_____.


A

73 m2

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B

72 m2

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C

77 m2

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D

75 m2

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Solution

The correct option is B

72 m2



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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