Final answer:
The given expression, x² - 10x + 25, represents the area of Liberty's township square playground. It can be factored as (x - 5)², which represents the product of the length and width of the playground.
Step-by-step explanation:
The given expression, x² - 10x + 25, represents the area of Liberty's township square playground.
In order to understand why this expression represents the area, we need to recognize that it is a perfect square trinomial. It can be factored as (x - 5)².
The area of the playground can then be represented as (x - 5)². This expression represents the product of the length and width of the playground, where the length and width are both equal to x - 5.