Work Step by Step
The answer is 10/3 because when we set proportions between the big trapezoid ABCD and small trapezoid EFGD, we can see that the ration is 1/1.5. For instance, when we set ED/AD, we get 6/9 which is equal to 1/1.5. When we set EF/AB = 1/1.5, we get y/5 =1/1.5. Then, cross multiply and we will get 1.5y=5. We find y by dividing 5 by 1.5. 5/1.5 is 50/15 which is equivalent to 10/3.