The figure can be decomposed into four rectangles of the figure can be decomposed into four trapezoids with a height of 3 in. and a base of 2 in. and 5 in. The area of the shaded region is 21 square in.
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
The area of the shaded part of the figure below can be determined in different ways.
Then the figure can be decomposed into four rectangles of the figure can be decomposed into four trapezoids with a height of 3 in. and a base of 2 in. and 5 in.
Then the area of the shaded region will be
[tex]\rm Shaded \ area = 5^2 - 2^2\\\\Shaded \ area = 25 - 4\\\\Shaded \ area = 21[/tex]
More about the rectangle link is given below.
https://brainly.com/question/10046743
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