To find perimeter, you add W+W+H+H, since you know that the perimeter is 30 and the width is 5......
30=2(5)+2(H)
30=10+2H
20=2H
10=H
To factor the trinomial, you can use the ac method where you multiply the first and last terms together (6 and 9) and add up to 15.
In this case ac= 54
2 numbers that multiply to 54 and add up to 15 would be 6 and 9 so place these numbers where the 15 would be:

Then group terms to simplify:

Simplify any like terms:

And group together again:

You can simplify a 3 out of the first expression one more time to get:

Which would be the factored form. I hope this helps :)
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Answer:
x=17
Step-by-step explanation:
6x+33+45=180
6x+78=180
6x=102
x=17