A path 1m wide is built along the border and inside a square garden of side 30cmfind the area of the path?

Let ABCD be the border of square garden of side 30m and the shaded region be the path

Then AD = 30m , XP=1m, SY = 1m

and XY = AD

⇒ XP + PS + SY = AD

⇒ PS = AD - XP - SY = 30m - 1m - 1m = 28m

∴ PQRS in a square of side 28m

∴ The area of path = Area of ABCD - Area of PQRS