We analyze the optical, UV, and X-ray microlensing variability of the lensed quasar SDSS J0924+0219 using six epochs of Chandra data in two energy bands (spanning 0.4-8.0 keV, or 1-20 keV in the quasar rest frame), 10 epochs of F275W (rest-frame 1089Å) Hubble Space Telescope data, and high-cadence R-band (rest-frame 2770Å) monitoring spanning eleven years. Our joint analysis provides robust constraints on the extent of the X-ray continuum emission region and the projected area of the accretion disk. The best-fit half-light radius of the soft X-ray continuum emission region is between 5 × 10 13 and 10 15 cm, and we find an upper limit of 10 15 cm for the hard X-rays. The best-fit soft-band size is about 13 times smaller than the optical size, and roughly 7GM BH /c 2 for a 2.8 × 10 8 M ⊙ black hole, similar to the results for other systems. We find that the UV emitting region falls in between the optical and X-ray emitting regions at 10 14 cm < r 1/2,UV < 3 × 10 15 cm. Finally, the optical size is significantly larger, by 1.5σ, than the theoretical thin-disk estimate based on the observed, magnification-corrected I-band flux, suggesting a shallower temperature profile than expected for a standard disk.