Calculate the area of the shaded region in the following diagram.

We know that,

Area of Square = Side × Side

Area of Rectangle = Length × Breadth

We have,

In the given figure, we are getting one rectangle and two squares.

= Length of Rectangle = 9 cm

= Breadth of Rectangle = 3 cm

= So, Area of Rectangle = 9×3=27 cm²

= Side of Square = 3 cm

= Area of two squares of same dimensions = 2×3×3=18 cm²

= Total area of shaded figure = 27 + 18 = 45 cm²