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The area of the shaded region is 15.453 square units.
Step-by-step explanation:
Step 1:
The given shape consists of a rectangle and two circles.
The length of the rectangle is given as 12 cm. Both the diameters of the circles equal 12 cm. So each circle has a diameter of 6 cm and thus a radius of 3 cm.
The diameter of the circle is equal to the width of the rectangle.
So the rectangle has a length of 12 cm and a width of 6 cm. The circles have radii of 3 cm each.
Step 2:
The area of the rectangle square cm.
The area of each circle square cm.
The area of both circles square cm.
The area of the shaded region is the difference between the area of the rectangle and the area of both circles.
The area of the shaded region square units.
The area of the shaded region is 15.453 square units.