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

Answer 1

The correct option is B

$72m^2$

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
$={11}^2-7^2=121-49=72m^2$