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Algebra

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Plot and connect the given points in order and determine the area of the resulting figure.
(-4,2),(-2,2),(-2,4),(1,4),(1,3),(3,3),(3,-4),(-4,-4)

A. 25
B. 30
C. 50
D. 62
E. 100

  • Algebra - ,

    I connected all of the points and formed a strange looking figure. I could not identify the figure, but I divided it into 3 rectangles. I calculated the area of each rectangle and added them up:

    A1 = (-2-(-4))(2-(-4)) = 12.

    A2 = (1-(-2))(4-(-4)) = 24.

    A3 = (3-1)(3-(-4)) = 14.

    At = 12 + 24 + 14 = 50 Sq. Units.

    Sorry, but I can't draw the graph online.

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