What does the cryptic crossword clue "This area's for walking dog, said policeman brooking no nonsense (4,8)" mean?

The wordplay uses a homophone (sounds like). PEAK (sounds like – said – ‘peke’, dog) + Detective Inspector (policeman) + STRICT (brooking no nonsense) – the UK’s first National Park The answer is PEAKDISTRICT.

This area's for walking dog, said policeman brooking no nonsense (4,8)

Guardian Cryptic #29271 | 11 Down | 2024-01-05 flower

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