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_____.
Answer: Option B
:
B
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
=112−72=121−49=72m2
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:
B
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
=112−72=121−49=72m2
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