Below you can see the front-view size comparison of the Fujifilm Z900EXR and Olympus SP-565UZ. The Fujifilm Z900EXR is clearly the smaller of the two cameras. Its body is 15mm narrower, 25 mm shorter and 63 mm thinner than the Olympus SP-565UZ.
The chart below depicts how two cameras compare with average dimensions of the cameras in their class.