The area of the given polygon is 84 square units.
What is a polygon?
In geometry, a polygon is any closed curve made up of a series of line segments (sides) connected so that no two segments cross. A rectangle is a flat, four-sided shape with right angles at every intersection (90°).
Area of rectangle = length * width
How to solve the problem?
Here, the polygon is made up of two rectangles. One rectangle's width and length are 10 units and (12 - 9) = 3 units respectively. Other rectangle's width and length are 6 units and 9 units respectively. To find the area of the given polygon, we have to add the values of the areas of these two rectangles.
Area of one rectangle = 10 * 3 = 30 square units
Area of other rectangle = 6 * 9 = 54 square units
Then the area of the polygon = 30 + 54 = 84 square units
Therefore the area of the given polygon is 84 square units. So, option D is correct.
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