SOLUTION: find the area of the shaded polygon http://homework.russianschool.com/resource?key=17359iojf2yy1

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Question 1120672: find the area of the shaded polygon
http://homework.russianschool.com/resource?key=17359iojf2yy1

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Look at the unshaded part, as it is easier.
The whole thing is 4 x 4 or 16 square units.
The bottom right corner is a right triangle with base 4 and altitude 3, so the area is 1/2 their product or 6.
The upper right corner has a 1 x 2 rectangle with 2 square units.
The upper left corner has two half squares with 1 square unit combined.
The triangle in the middle is obtuse with base 2 and altitude 1. Its area is 1 square unit.
The white area totals 10 square units.
Therefore, the shaded polygon has 6 square units area.

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