The area of the irregular polygon is 50 square inches.
We have to determine the area of the irregular polygon shown below:
According to the question
The area of the given figure is calculated in the following steps given below.
The area of the outside rectangle is determined by the following formula;
[tex]\rm Area = Length \times Width[/tex]
The height of the outside rectangle is 12inches and the width is 10 inches.
Then,
[tex]\rm Area = Length \times Width\\\\Area = 12\times 10\\\\Area = 120 \ inches^2[/tex]
The area of two white rectangles is,
[tex]\rm Area =2( Length \times Width)\\\\Area = 2(7\times 5)\\\\Area = 2\times 35\\\\Area = 70 \ inches ^2[/tex]
Therefore,
The area of the E shape = The area of the outside rectangle - The area of the two white rectangles.
The area of the E shape = 120 - 70
The area of the E shape = 50 square inches
Hence, The area of the irregular polygon is 50 square inches.
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https://brainly.com/question/2590710