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Number theory Difficulty 2.0 Junior Find the answer Canada

The difference between the squares of two consecutive integers is $199$ . The sum of the squares of these two consecutive integers is

(A) $19\,801$ (B) $39\,601$ (C) $19\,602$ (D) $20\,201$ (E) $19\,405$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.