The way in which the appearance of Lady Catherine's estate contributes to Elizabeth's characterization is:
She is a fictional character from the book Pride and Prejudice who is both wealthy and pompous as she treats people who she is wealthier than very poorly.
With this in mind, when Lady Catherine's estate is brought up in the book, it contributes to Elizabeth's characterization because it makes Elizabeth self aware and she is concerned about her status and appearance.
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