Answer:
Area = 30 cm²
Step-by-step explanation:
Finding DE first:
ΔCDB is similar to ΔCEA
So, To find DE, We'll take the proportion of their sides:
=> [tex]\frac{6}{8} = \frac{9}{CE}[/tex]
Cross Multiplying
=> 6CE = 72
Dividing both sides by 6
=> CE = 12 cm
Now
DE = CE - CD
DE = 12-8
DE = 4 cm
Now, Finding the Area of trapezium:
=> Area = [tex]\frac{a+b}{2} (Height)[/tex]
Where a = 6, b = 9 and Height = 4
=> Area = [tex]\frac{6+9}{2} (4)[/tex]
=> Area = 2(15)
=> Area = 30 cm²
