When i cropped a picture using the crop tool to 9x6" when it was printed everyone was stretched looking tall and thiner how can i crop pictures but keep the people looking as they do in real life?

oops put the while question in the wrong place!!!  but I'm at a loss on how to do this every picture I took everyone looks stretched when I use the crop tool any help would be much appreciated,
I have PS6
thank you

suzukidi wrote:
I have been trying so hard to try and get my head round this since your last comment so what I think I know is with my Nikon d80 having 3:2 aspect ratio pictures that I wanted printed can only be the sizes you mentioned above which is fine as the pictures I got printed were 9x6" but it's from now I'm still bit lost when I use the crop tool and pre set the size to 9x6" with a resolution of 240 and crop out all the bits I don't want it comes back from printers stretched so i'm still lost as I don't know the  point where I'm doing something that causes the stretching? thank you for your patience
Lets separate this into topics  Aspect Ratio,  resolution and size ... etc
Aspect  Ratio is just the ratio of an image's two sides.    Your camera captures an image with a 3:2 Aspect Ratio.   If you want to print the whole image your camera captures it can be printed and image size that has sides the have a 3:2 ratio without distorting the image.
Images are re-sized two ways:
One way is to keep the pixels your camera captures and print them at different resolutions. Resolution is nothing more then pixel size.  Pixels have no size till there is a resolution set. Pixels themselves may have a aspect ratio themselves.  These days most devices use square pixel.  Some video standards use non square pixels. So if you have square pixels and an image with 1800px by 1200px and set the resolution to 300DPI the print size will be 6" by 4"  if you set the  to 200DPI the print size will be 9" by 6".  Its simple math. 300DPI means pixels are 1/300"x1/300" there are 90,000px/inch 200DPI 1/200"x1/200" 40,000px/inch  100DPI 1/100"x1/100" 10,000. Note how quickly the pixel count climes as resolution increase doubling an image resolution requires four times as many pixels not two timas as many.
The other way is to create a new image using the pixels you camera captures.  Your Camera pixels are resampled(interpolated) into a totally new image not a single camera captured pixel remains intact the new image has a different numbers of pixels it a different image.  There are different interpolation methods some work better then others depending on image content and the direction of the re-size.  Any time you resample an image you loose some image quality.  The pixels are generated they are not captured using optics and a sensor.
Normally I do not resample when printing I just set the DPI so the image prints the size I want.  In the Image size Dialog I un-check resample and the set the print width or height I want to print.  Photoshop will calculate the DPI and set the other side size.    If you crop without setting a DPI resolution in the crop tool the crop tool will not resample the crop to a particular DPI it should just set the appropriate DPI.
I resample image for the web Cameras capture more pixels then can be display by displays.  So in the image size dialog I check resample and constrain the width and height to the image current aspect ratio then I set the number of pixels I want the width or height to be. Photoshop will calculate the number of pixels the other side will be. The DPI is meaningless for web images for Web images are displayed on screens at the resolution a displays has.  Your images will display large on a large Low DPI resolution HDTV screen and small on a high resolution cell phone display.
If you want to print you image a size that does not have a 3:2 aspect ratio without distortion  you need to crop you image to the aspect ratio you want to print at.  You need to discard part of your image.  The Crop Tool does not distort it discards part of you image.  It may or may not resample the crop selected.  I do not use the crop tool but if I did I would not use it to resample the crop I would not set in a DPI resolution in the crop tool.
Photoshop can also resize an image from one aspect ratio to and other aspect ratio a non constrained resize.  The resulting image will be distorted.  However Photoshop does have have a content aware re-size that tries to maintain recognizable objects perspective during the distortion process.  This process can also be aided by user masking.
Cropping:
A 3:2 aspect ratio image can in theory be cropped to an infinite number of smaller images that have any aspect ratios including an infinite number of images that have a 3:2 aspect ratio.  All crops can be resampled to a particular DPI resolution. However digital pixels can not be sliced up so there are a finite numbers of crops you can hack form a digital image

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