Answer:
54 units²
Step-by-step explanation:
A line from E to B will divide the figure into triangle ABF and trapezoid BEDC. The triangle has base BF = 10 and height AE = 3. The area of that is ...
A = 1/2bh = 1/2·10·3 = 15 . . . . units²
The trapezoid has bases DC = 7 and EB = 6, and height BC = 6. The area of it is ...
A = 1/2(b1 +b2)h = (1/2)(7+6)(6) = 39 . . . . units²
The total area of the figure is the sum of these:
figure area = triangle area + trapezoid area
= 15 units² +39 units² = 54 units²
