What is the area of the shaded region in the figure, given that the side of square ABCD is 9 m and the side of square PQRS is 10 m?
Area of the shaded region = Area of square PQRS - Area of square ABCD
Area of a square of side length 'a' is a2.
Given, side length of square ABCD = 9 m
side length of square PQRS = 10 m
Area of square PQRS = PQ2 =102=100 m2
Area of square ABCD = AB2 =92=81 m2
∴ Area of the shaded region = 100−81=19 m2