The closest to the area of the shaded region in the figure is 62 square units which is option B.
What is area?
Area of a shape is the extent to which the surface has been covered by shape. Area of rectangle is length * breadth. Area of circle is π[tex]r^{2}[/tex] where r is radius of circle.
How to find area?
We have been given that the radius of circle is 6 units. If we carefully observes the radius and length of the rectangle in which circle exists then we can find length by adding radius 4 times=4*6=24 units.
Like this if we see breadth then it will be equal to 2*radius=2*6=12
Area of rectangle=12*24
=288 square units.
Area of 1 circle=π[tex]6^{2}[/tex]
=3.14*36
=113.04
Area of 2 circles=2*113.04
=226.08 square units.
Area of shaded region= area of rectangle-area of 2 circles
=288-226.08
=61.92 square units
Hence the area of shaded region among options is 62 which is option B.
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