Answer:
24cm²
Step-by-step explanation:
Perimeter of rectangle ABCF = 20 cm
One of the sides AB = 6 cm (AB)(Let it be L)
other side of Rectangle=B.
Perimeter of Rectangle = 2 (Length + width)
20 = 2(L+W) = 2(6 + W)
[tex]\frac{20}{2}[/tex]=6+B
10=6+B
B = 10-6
B = 4 cm
Width of Rectangle, W = 4 cm (BC)
Length of side of trapezium, CD = BD - BC = 9 - 4 = 5 cm
And length of EF = 3 cm
Area of Trapezium = [tex]\frac{1}{2}[/tex]×(CD+EF)×CF
[tex]\frac{1}{2}[/tex]×(5+3)×6
[tex]\frac{8}{2}[/tex]×6
4×6=24
