Which perennial weed has heart-shaped serrated leaves and violet or pansy-like flowers?

The perennial weed characterized by heart-shaped serrated leaves and violet or pansy-like flowers is indeed the wild strawberry. This plant features distinctive leaves that are not only heart-shaped but also serrated, making them easily identifiable. The flowers exhibit a vibrant violet color, resembling those of pansies, which further aids in its identification. Wild strawberry plants often thrive in various environments, contributing to their status as a common perennial weed.

In contrast, wild garlic has a completely different leaf structure, typically featuring long, linear leaves with a distinct onion-like aroma. Dallasgrass, a grass species, does not have the serrated heart-shaped leaves nor the flowering structure mentioned in the question. Bahia grass, also a type of grass, is known for its coarse texture and different types of leaf blades, as well as its flowering spikes that are unlike the pansy-like flowers noted in the question. Understanding these identifying characteristics helps in correctly identifying the wild strawberry among other plants.