$($###$10)$No chat gpt answers & don't copy from chegg or else I'll give $5$ downvotes

Sarah is self$-$employed and works from a designated room in her house.

The room is $200$ square feet, and her home's total square footage is $2,000$ square feet.

Her annual home$-$related expenses are as follows:

Mortgage interest: $$10,000$

Property taxes: $$4,000$

Utilities: $$2,400$

Homeowners insurance: $$1,200$

Calculate Sarah's potential home office deduction.