Q.Is it a good idea to apply grass seed to a drought affected lawn
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Drought can lead to thin grass or outright dead areas. When weather cools, rake the lawn well and sow seed in thin areas. If areas have zero grass, prep the ground by loosening the soil, sowing seed and covering it with top soil, compost or straw. Keep the seed moist or it will die; this means watering at least twice a day without flooding the area. https://www.gardeningknowhow.com/lawn-care/lgen/lawn-seeding-tips.htm