Estimate the area of the irregular shape. Explain your method and show your work. Will Mark Brainliest if correct. And please Do Not Repost someone else's answers from brianly or another websites.

9514 1404 393

  29 square units

Step-by-step explanation:

One estimate could be obtained by approximating the shape by a polygon with vertices at ...

  (-3, 3), (2, 2), (2, -2), (-3, -4), (-4, -3), (-3, -1)

The idea is to try to have about as much area outside this boundary as inside with reference to the curve shown.

This can be subdivided into a trapezoid with the first four vertices shown, and a triangle with the last three vertices shown. The respective areas are ...

  trapezoid area = 1/2(b1 +b2)h = 1/2(7+4)(5) = 27.5

  triangle area = 1/2bh = 1/2(3)(1) = 1.5

Then the total estimated area is about 27.5 +1.5 = 29 square units.

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