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The area of the following shape is 12.

Right triangle with base length 4 and height 4 would be formed from the provided coordinates (-4,0), (0,4), and origin (0,0), therefore area = 1/2 * base * height = 8

Given that points (0,4), (2,2), and (1,2) would form a right triangle with a base length of 2 and a height of 2, the area would be equal to 1/2 * 2 * 2 = 2.

Given locations (0,0), (0,2), and (1,0), an area of 2 would be formed. The area will be equal to  (8 + 2 + 2)=12.

What is coordinate geometry?

In coordinate geometry, any point, figure, or object's position is specified using two or more numbers. The location of the object can be specified in a variety of ways, including a line, a plane, three dimensions, etc. These sorts of coordinate systems are listed below.

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