What you're asking is 2 different questions.1. DESIGN SizeIf you want to change the design's size from 9x5cm into 8x5.5cm, you have to change the proportions of the canvas size. Cut the width and enlarge the height.Image -> Canvas Size -> Type the sizeLAYER Size:If you want to resize only the content of a layer, click on the layer you want to change.Edit -> Transform (or simply use Ctrl+T)To constrain proportion click and hold "SHIFT" while you're resizing from the "corner points", otherwise it'll get distortion.Or you can type the size of at the left top, click the chain icon between W and H for proportional transform.2. FILE SizeIf you want to change the size of the whole Photoshop working space without cropping, it means you want to resize the File's size (like from 3 MB to 2MB or others). There are three ways:>>1. Image -> Image Size -> Change the size on width or heightCheck the box on "Constrain Proportion" bellow (make sure the chain icon between width and height is on to constrain proportions)>>2. Image -> Image Size -> Change the "Resolution" (known as "dpi") (300 dpi is good quality, 150 dpi is ok, 72 dpi is low quality)>>3. Save as a copy of PSD [Flatten, no layers] or Save as JPEG ->"Quality" between 0-12 or if needed you can change "Format Option" Baseline Standard is the default for normal use, Progressive is the highest.PS:I actually prefer using Adobe Illustrator or Corel Draw for corporate designs with less photographic images. (^_^)