My house is on a steep hill. When it rains the garage floods. I have a concrete floor that is on a slope so need some way to divert the water that floods from the back of the garage down to the front.
A French drain would solve your problem. A trench across the area even a foot deep (but deeper is better) with perforated pipe then gravel, some use landscape plastic (full of small holes) to reduce dirt from entering the gravel and pipe. Sod can be put on top of the gravel and it will be the first area to turn brown in the summer. At the end of the pipe run a second pipe down hill until it is close to the surface then cover the end with rock So the water can flow through. There are lots of examples to be found on the internet. Other than trenching it is not a tough job and very effective. Rental of a ditch witch makes it much easier and a nice clean trench just remember to call before you dig to locate buried utilities.