Need to drain small corner of concrete drive

We had a garage built last summer. The contractor did a good job of sloping the concrete drive for drainage everywhere but at the left front corner of the garage. We get a small puddle of water/ice right in front of the left corner (in front of the small access door). There is a seam cut across that location and in the summer, if kept clean of dirt, will eventually drain the area. However, with dust buildup or with ice, we're going to have a puddle of ice. How can we put a small swale, perhaps a foot wide, three feet in length? Or as an alternative, how about if we have the seam widened by the contractor with a concrete saw, to about 1/2 inch? Or, thirdly, he says we could cut out (with jackhammer?) a section and repour that small section? Any advice? Thanks.

 

Third idea.. throw one of those hard rubber outdoor mats there for the winter.

http://www.lyndist.com/mats/entrance_mats.htm

You can find some that style that are a lot cheaper...

 

Yup. That was my third idea. May be the easiest remedy!

 

Cutting out the concrete and re-pouring it is the more permanant and "proper" way to fix the problem. It is also the solution that will probably cost several hundred dollars and the repaired area will always look different than the rest of the concrete.

A good rubber mat like used in machine shops and factories are about 3/4" to 1" thick which should get you above even a deep puddle and costs about $40. A plain old door matt may not be as thick and durable as the commercial type but they certainly can be found much cheaper.