Answer :

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

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