If someone remarks that your backyard is verdurous, they're noticing all the lush grass and shrubbery growing there. And if they call YOU verdurous, it's a compliment — they think you're as vibrant and fresh-looking as those plants!
Verdurous is a rather uncommon adjective derived from the noun verdure, a slightly poetic word for lush, green vegetation. And that word comes from Middle French verd, meaning "green." If you know any Spanish or Italian, you might be reminded of the word verde, with the same meaning. All three languages ultimately got their word for "green" from Latin viridis. Next time you're asked to mow the lawn and trim the shrubs, you could say, "But we don't want the yard to look less verdurous!"