Find the area of the following shape. You must show all work to receive credit. shape with vertices located at negative 4 comma 0, 0 comma 4, 2 comma 2, negative 1 comma 2, and negative 1 comma 0

12

Step-by-step explanation:

Graphing the points, it appears that 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 a 1 x 2 rectangle of area 2.

total area = 8 + 2 + 2 = 12

-6 is the correct option from the above given options

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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