Respuesta :

Area of the figure = 30.28 m²

Solution:

The given image is splitted into two shapes.

One is rectangle and the other is semi-circle.

Length of the rectangle = 6 m

Width of the rectangle = 4 m

Area of the rectangle = length × width

                                    = 6 m × 4 m

                                    = 24 m²

Area of the rectangle = 24 m²

Diameter of the semi-circle = 4 m

Radius of the semi-circle = 4 m ÷ 2 = 2 m

Area of the semi-circle = [tex]\frac{1}{2} \ \pi r^2[/tex]

                                      [tex]$=\frac{1}{2} \times 3 .14 \times 2^2[/tex]

                                      [tex]=6.28[/tex]

Area of the semi-circle = 6.28 m²

Area of the figure = Area of the rectangle + Area of the semi-circle

                              = 24 m² + 6.28 m²

                              = 30.28 m²

Area of the figure = 30.28 m²

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