Answer
Area of the figure = 8.5 square units
Step-by-step explanation
From the given figure, five composite plane shapes are possible.
Shape 1 is a parallelogram
Area of parallelogram = base x height
= 1 x 1
= 1 square unit
Shape 2 is a rectangle
Area of a rectangle = Length x Width
= 3 x 1
= 3 square units
Shape 3 is a rectangle
Area = 2 x 1
= 2 square units
Shape 4 is a triangle
Area of triangle = 1/2 x base x height
= 1/2 x 1 x 2
= 1 square unit
Shape 5 is a triangle
Area = 1/2 x 1 x 3
= 1.5 square units
The area of the given figure will be the sum of the areas of all the composite shapes, that is
Area of the figure = Areas of (shape 1 + shape 2 + shape 3 + shape 4 + shape 5)
= 1 + 3 + 2 + 1 + 1.5
Area of the figure = 8.5 square units