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Find the area of the following shape. You must show all work to receive credit.

Find The Area Of The Following Shape You Must Show All Work To Receive Credit class=

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By using the area formulae for right triangles and rectangles, the area of the irregular hexagon ABCDEF is equal to 42 square units.

How to determine the area of an irregular polygon

Herein we have a picture of an irregular hexagon, whose entire area can be defined as the sum of areas of five right triangles and a rectangle, whose complete expression and procedure are shown below:

A = (1 / 2) · (6) · (3) + (1 / 2) · (2) · (5) + (1 / 2) · (2) · (3) + (1 / 2) · 2² + (1 / 2) · (2) · (3) + (4) · (5)

A = (1 / 2) · 18 + (1 / 2) · 10 + (1 / 2) · 6 + (1 / 2) · 4 + (1 /2) · 6 + 20

A = 9 + 5 + 3 + 2 + 3 + 20

A = 42

By using the area formulae for right triangles and rectangles, the area of the irregular hexagon ABCDEF is equal to 42 square units.

To learn more on irregular polygons: https://brainly.com/question/10642750

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