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. $72m^2$
• B. $77m^2$
• C. $73m^2$
• D. $75m^2$

Answer 1

The correct option is A $72m^2$


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.

$\Rightarrow$ Side length of the inner square, HG = 11 - 2 - 2 = 7 m

We know that area of a square = $sid{e}^2$

$\Rightarrow$ Area of the path = (Area of the outer square - Area of the inner square)
$=({11}^2-7^2)=121-49=72m^2$.