Question

A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.

Answer 1

According to the given information the figure will be as shown alongside. Clearly, length of the square field excluding path =21 m.

$\therefore$ Area of the square side excluding the path $=21\times 21=44m^2$

Again, length of the square field including the path =21+3+3=7 m

$\therefore$ Area of the square field including the path $=27\times 27=729m^2$

$\therefore$ Area of the path $=729-441=288m^2$