Final answer:
The area of trapezoid EFHG is calculated using the coordinates of its vertices and the formula for the area of a trapezoid. The area is found to be 16 square units.
Step-by-step explanation:
To find the area of trapezoid EFHG with the given coordinates E(-2, 3), F(2, 4), G(2, -2), H(-2, -1), we use the formula for the area of a trapezoid, which is (1/2) * (sum of the lengths of the two parallel sides) * (height). Looking at the coordinates, the lengths of the parallel sides (bases) are the differences in y-coordinates of E and H, and of F and G, which are 4 units each. The height of the trapezoid is the difference in x-coordinates of E and F, which is 4 units. Thus, the area is (1/2) * (4 + 4) * 4 = 16 square units.