AMC 12 2023b Problem 4

Jackson's paintbrush makes a narrow strip with a width of $6.5$ millimeters. Jackson has enough paint to make a strip $25$ meters long. How many square centimeters of paper could Jackson cover with paint?

$\textbf{(A) }162,500 \textbf{(B) }162.5 \textbf{(C) }1,625 \textbf{(D) }1,625,000 \textbf{(E) }16,250$