Answer:
24 cm^2
Step-by-step explanation:
See the attached diagram
ABC is a triangle, D, E are points on AB and BC. DE is parallel to BC>
Also DBE has sides 1/3 times that of ABC
We have triangles ABC and DBE are similar with proportionality of sides as 1:3
Hence area of triangle DBE = 1/9 times area of ABC = 3 sq cm.
Area of trapezium ADEC = Area of triangle ABC - area of triangle DBE
=27-3 = 24 cm^2
Answer is 24 cm^2