The reference image for the solution is attached below.
The figure is splitted into two shapes.
One shape is square and the other shape is trapezium.
Side length of square = 2 units
Bases of the trapezium = 1 unit and 2 unit
Height of the trapezium = 2 unit
Area of the square = side × side
= 2 × 2
Area of the square = 4 units²
Area of the trapezium = [tex]\frac{1}{2}\times \text{sum of the bases }\times \text{height}[/tex]
[tex]$=\frac{1}{2}\times {(1+2)}\times 2[/tex]
[tex]$=\frac{1}{2}\times {3}\times 2[/tex]
Area of the trapezium = 3 units²
Area of the shape = Area of square + area of trapezium
= 4 units² + 3 units²
= 7 units²
The area of the shape is 7 units².
