The area of the shape based on the information is 12.
How to calculate the area?
The given points (-4,0),(0,4) and the origin (0,0) would form a right triangle of base length 4 and height length 4, so area = 1/2 * base * height = 8
Given points (0,4), (2,2) and (1,2) and point (0,2) would form a right triangle of base length 2 and height 2 so area = 1/2 * 2 * 2 = 2.
Given points (1,2) and (1,0) plus points (0,0) and (0,2) would form area of 2. The total area will be
= 8 + 2 + 2 = 12
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