Answer:
c
Step-by-step explanation:
divide the diagram in three parts
i. quadrilateral with vertices (1,1),(1,-2),(6,-2),(6,4),two vertical sides are parallel.
2.triangle with vertices (-6,1),(1,1),(-1,3)
3. triangle with vertices (-6,1),(1,1),(1,-2)
area=\frac{(4+2)+(1+2)}{2}×(5-1)+[\frac{1}{2}×(6+1)×2+\frac{1}{2}×(6+1)×(1+2)]
=\frac{9}{2}×4+[\frac{1}{2}×7×2+\frac{1}{2}×7×3
=\frac{36}{2}+\frac{14}{2}+\frac{21}{2}
=\frac{36+14+21}{2}
=\frac{71}{2}
=35 \frac{1}{2}
or =35.5 units²
