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The area of the figure is 33.28 m².

Solution:

The given figure is splitted into three shapes.

One is rectangle, the second is semi-circle and the third one is triangle.

To find the area of the figure:

Area of the rectangle = length × width

                                    = 6 m × 4 m

Area of the rectangle = 24 m²

Diameter of the semicircle = 4 m

Radius of the semicircle = 2 m

Area of the semi-circle =

Area of the semi-circle = 6.28 m²

Base of the triangle = 7 m – 4 m = 3 m

Height of the triangle = 2 m

Area of the triangle =

Area of the triangle = 3 m²

Area of the figure = 24 m² + 6.28 m² + 3 m²

                              = 33.28 m²

Hence the area of the figure is 33.28 m².

34

step-by-step explanation: