Sorry Slowdog, you are going to have to throw us a bone. There are potentally hundreds of things on a 9.9 that would need a backing plate.
As a general rule you want the backing plate to do two things,
1. have enough area to spread out the max load so it does not crush the supporting material and
2. Have enough perimeter (measured around the edges of the backing plate) so that the supporting material does not fail in shear at max load. The first is usually not the controlling equation so focus on making the perimeter large enough and keeping the corners well rounded. The thickness of the supporting material times the perimeter is the shear area. the max load times a safety factor (1.5-2.0) divided by the shear area must be less than the allowable shear stress in the supporting material.
Now if you could give the type of load, and supporting material type and thickness it is a simple matter of figuring the backing plate size.