A- Sonnet 18 by William Shakespeare:
""Shall I compare thee to a summer's day?
Thou art more lovely and more temperate:
Rough winds do shake the darling buds of May,
And summer's lease hath all too short a date...""
Above is an example of Type A poems. Type A poems are fixed-verse or fixed-form poetry like sonnets, limericks and haiku etc, they have a definite composition requirement like line counts, specific rhyming meters and word counts.
B - Wild Geese by Mary Oliver:
""You do not have to be good.
You do not have to walk on your knees
For a hundred miles through the desert, repenting
You only have to let the soft animal of your body
love what it loves...""
B type poems are free verse poetry, they have none of type A's requirements and often follow no discernable patterns, are often written in plain writing and are more focused on self expression