Weird rect light noise on meshes

As you can see from the image I have attached, when I use a rect light in my scene, I am getting a noise pattern much like a moire. Other kinds of light, like the spot light shows, don’t share this problem. Any ideas about what is causing this? It is probably something crazy simple, but its the first time I have had any problems with the rect light.

BTW, the lights shown are set to moveable (though setting them to stationary or static don’t get rid of the rect’s pattern.