Answer:
[tex]\boxed{\text{38.5 units}^{2}}[/tex]
Step-by-step explanation:
The polygon is a trapezoid on its side.
The formula for the area of a trapezoid is
A = ½(a + b)h,
where a and b are the lengths of the parallel sides and h is the distance between them.
AD = a = 2 – (-2) = 2 + 2 = 4 units
BC = b = 2 – (-5) = 2 + 5 = 7 units
AB = h = 3 – (-4) = 3 + 4 = 7 units
A = ½(4 + 7) × 7 = ½ × 11 × 7 = 38.5 units²
[tex]\boxed{\text{A = 38.5 units}^{2}}[/tex]
