9514 1404 393
Answer:
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.
