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Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.
To find the area of community pool we will use area of pentagon formula.
, where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.
Let us find the perimeter of our given pentagon by multiplying each side length by 5.
Now let us find apothem of our pentagon by using Pythagoras theorem.
Upon substituting our given values in above formula we will get,
Therefore, the area of the pool that needs to be covered is 960.42 square feet.