Should I use my car for a work trip?

I am traveling 200 miles next week for work (400 miles round-trip). I have the option to use my own car and get 52 cents/mile re-imbursement + gas, or rent a car.

Using my car is more convenient, but I just got a new car and have put very few miles on it so far (5,100). Is ~$200 an ok amount to put 400 miles on my car, or would it make better financial sense to just rent a car?

Note: I do this trip a few times per year and usually rent a car.