The area of the shape based on the information is 12.
<h3>How to calculate the area?</h3>
The area is the amount of space within the perimeter of a 2D shape. It is measured in square units, such as cm², m², etc. To find the area of a square or other quadrilateral shapes, you have to multiply the length by the width.
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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Complete question:
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, 1 comma 2, and 1 comma 0
