Thanks for the replies. In the reading that I have done, I have come across wild violet and it looked right to me, but i've never seen it produce a flower like any description of wild violet i've read. Also I'm no expert and my lawn was well established before i moved into the house, but I think that it is Bermuda as you mentioned. I definitely don't want to harm the rest of the lawn while trying to get rid of the weed. Are there any other suggestions for helping to treat it?

whatever that weed is we don't see it much on this forum. My first choice for a weed killer would be Weed-B-Gone. Second choice would be Weed-B-Gone Chickweed, Clover, and Oxalis killer. Third choice would be Brush-B-Gone. Those are three increasingly effective varieties of the same weed killer. The grass looks more like bermuda than zoysia. Is it still growing? Can you pull up a surface runner and take a picture? Does it get seed heads if you don't mow it for a week or so? Can you take a picture of any seed heads? Where do you live? Zones don't matter. We need the city or zip code to help you better. You need to calibrate your sprinkler(s). Put some tuna or cat food cans around the yard and turn on the sprinkler. Time how long it takes to fill the cans. That will always be your watering time. If you have a zoned system do that for each zone. Once you have done that calibration, there will be an inch of water in your soil. When you get back with your location I can tell you more about when to water again. It won't be for a couple of weeks, so don't get panicky. 60 days is not long to go from beautiful to this. I suspect the lawn had been nursed carefully while it was for sale and now it has collapsed. If you live in El Paso or west of Junction, I will change my story on that. For right now, I would apply a starter dose of organic fertilizer along with the water mentioned above. For fertilizer you can use corn meal, alfalfa pellets, or Milorganite. Those are in order of increasing cost. You can get the first two at a feed store. They might have Milorganite there, too, but for sure at a garden store. A bag of corn meal should cost under $10. A bag of alfalfa pellets (rabbit chow) should be around $12-$14. Milorganite might be on sale for $8 but usually it's above $16. The application rate for the first dose would be 10 pounds per 1,000 square feet. Then 3 weeks later you can go up to the normal dose of 15 to 20 pounds per 1,000 square feet. This should correct any soil biology issues. This is in addition to the weed n feed you already used. In the future stay away from those. If this works for you, I'll be surprised, but fine. Usually those don't work well as either weed killer or fertilizer. If you want to kill weeds spot spray with a liquid. If you want to fertilize, use a fertilizer. The problem with wnf is you usually need one or the other but never both at the same time. The other problem is to apply it correctly takes two people working in close harmony to keep the grass moist while the product is going down. Then watch the grass for signs that it is no longer growing. When that happens give it one last dose of a very high N fertilizer with very low or zero P and K. After that forget about it until April. Keep it watered once a month during the winter. Mulch mow at your mower's lowest setting two times then raise it up a notch for the rest of the season. Mulch mow 2x to 3x per week at that higher setting until it stops growing.

Yes, that looks like it and would make a lot of sense, so it's almost definitely that. From what I understand this should be ok considering what the owner wants. I've already offered to enhance the turf, and even though I'm paid well, he simply doesn't want to at this point. Japanese Stilt Grass sounds like it should be able to handle mowing

here are few more photos these are in my backyard. seem like the same plant. 1st one is 7 inches tall and the other 2 photos seems like the same plant but fully matured.