Verified Answer :

baabaagreysheep

So the way I'd do this is by figuring out the two missing rectangles, and then taking them away from the total area. The total area would be 10 × 12 = 120 inches, and the two rectangles would be 5 × 7 = 35, 35 × 2 = 70. Now, you just do 120 - 70 = 50 inches squared, which is your answer. I hope this helps!

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;

\(\rm Area = Length \times Width\)

The height of the outside rectangle is 12inches and the width is 10 inches.

Then,

\(\rm Area = Length \times Width\\\\Area = 12\times 10\\\\Area = 120 \ inches^2\)

The area of two white rectangles is,

\(\rm Area =2( Length \times Width)\\\\Area = 2(7\times 5)\\\\Area = 2\times 35\\\\Area = 70 \ inches ^2\)

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.

To know more about Polygon click the link given below.

https://brainly.com/question/2590710

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