Answer:
8. False.
11 and 13 are consecutive prime numbers, but 11 + 13 = 24 and 24 isn't prime.
9. True.
10. True.
11. True
12. False.

13. True.
DC :AB=3:2 can be written as
DC/AB=3/2
Then you can get the answers easily
Let the length of the patio is x and width is 3/4x
So according to the equation x.3/4x = 432
x^2. 3/4 =432
x^2 =432 times 4/3
x^2 =1728/3 =576
x= 24
The length is 24 ft