Find the area of the shape shown below.
units?

Area of the shape = 7 unit²
Solution:
The given image is splitted into two figures.
One is square and the other is trapezium.
Side length of the square = 2 units
Area of the square = side × side
= 2 × 2
Area of the square = 4 unit²
Top base of the trapezium ([tex]b_1[/tex]) = 2 units
Bottom base of the trapezium [tex](b_2)[/tex] = 1 unit
Height of the trapezium = 4 - 2 = 2 units
Area of the trapezium = [tex]\frac{1}{2}\times (b_1+b_2)\times h[/tex]
[tex]$=\frac{1}{2}\times (2+1)\times 2[/tex]
[tex]$=\frac{1}{2}\times 3\times 2[/tex]
Area of the trapezium = 3 unit²
Area of the shape = Area of the square + Area of the trapezium
= 4 unit² + 3 unit²
Area of the shape = 7 unit²