The gate equivalence metric might get you to within an order of magnitude - if that's good enough for you? The problem is that a 4-input LUT can implement a single AND gate, or a complex 4-input function representing several gates. Or (in a Xilinx chip) it can be a shift register with 16 bits of memory in it. And it has a flipflop attached to its output (with attendant control signals and the like.... another few gates). And if you've used Block memory or the DSP blocks, they are even harder to quantify.
When you say you want to compare performance and area, do you really mean "cost"? Is this a potential product with millions of units sold, or "just" a few 10s of thousands? ASIC NRE is big!
You can optimise your FPGA design for cost as well, which might be good enough, depending on your volumes. For example, an image-processing design done in a traditional fashion can be 10x bigger than one designed for seriously small FPGA usage, with similar application performance... if you know what you're doing :)