We present results from Chandra observations of SDSS J1004+4112 , a strongly lensed quasar system with a maximum image separation of 15 \arcsec . All four bright images of the quasar , as well as resolved X-ray emission originating from the lensing cluster , are clearly detected . The emission from the lensing cluster extends out to approximately 1 \farcm 5 . We measure the bolometric X-ray luminosity and temperature of the lensing cluster to be 4.7 \times 10 ^ { 44 } ~ { } { erg s ^ { -1 } } and 6.4 keV , consistent with the luminosity-temperature relation for distant clusters . The mass estimated from the X-ray observation shows excellent agreement with the mass derived from gravitational lensing . The X-ray flux ratios of the quasar images differ markedly from the optical flux ratios , and the combined X-ray spectrum of the images possesses an unusually strong Fe K \alpha emission line , both of which are indicative of microlensing .