(The confusion in this thread is resulting from the OP having a problem, but not knowing the correct question to ask. The OP is actually asking for an aspect ratio, not for pixel dimensions.)
Short answer:
A webpage that does not require scrolling on a 2010-2012 iPad will have one of these aspect ratios: 29/24 (or 1.208333) in portrait or 21/32 (or 0.65625) in landscape.
Long answer:
ASPECT RATIO: The ratio of height-to-width within a viewing display is called "aspect ratio". On computer screens, this height and width are measured in pixels. Here are some aspect ratios to ponder: a square = 1/1 (or 1.0), the 2011 MacBook Pro display = 5/8 (or 0.625), the 2011 iMac display = 9/16 (or 0.5626), the 2012 iPad display = 3/4 (or 0.75), and the 2011 iPhone/iPod touch display = 2/3 (or 0.666).
PIXELS: If a display contains more pixels, it will be more difficult to see individual pixels, and images will look more realistic. Reality has a very high number of (what our eyes use as) pixels, so we have a very tough time noticing them. But computer screens do not, so they contain very small squares if you look close enough.
SAFARI: Most iOS users will utilize Safari to browse the Internet on their iPad, iPhone, or iPod touch. That app resizes every webpage to match the width of the display screen, making pixel dimensions irrelevant. However, if you don't want a website to require any vertical scrolling, it must precisely match the aspect ratio of whichever of the 3 displays is being used. In addition, when you calculate that aspect ratio, you must include any immovable toolbars used by the web browser. And Safari (for iOS) has four different ones, all measured in pixels.
2012 IPAD: This display has pixel dimensions of 2048x1536 or 1536x2048 (notice that 1536/2048=0.75). The status bar at the top of the display is 40 pixels high and the URL bar is 152 pixels high - both are immovable. At full resolution, a non-scrolling webpage will have these pixel dimensions: 1856x1536 in portrait or 1344x2048 in landscape. Therefore, more generally, all non-scrolling webpages as viewed by Safari on iPads will have these aspect ratios: 29/24 (or 1.208333) in portrait and 21/32 (or 0.65625) in landscape.
2011 IPHONE/IPOD TOUCH: This display has pixel dimensions of 960x640 or 640x960 (notice that 640/960=0.666). The status bar at the top of the display is 40 pixels high and the button bar below the screen is 88 pixels high - both are immovable. Also, the URL bar above the screen is 120 pixels high, though it scrolls up and out of view when you swipe vertically upon a webpage. At full resolution, a non-scrolling webpage will have these pixel dimensions: 712x640 in portrait or 392x960 in landscape. Therefore, more generally, all non-scrolling webpages as viewed by Safari on iPhones/iPod touches will have these aspect ratios: 89/80 (or 1.1125) in portrait and 49/120 (or 0.408333) in landscape. Realize that once you scroll up so the URL bar is offscreen, those webpages will have these pixel dimensions (and aspect ratios): 832x640 (4/3 or 1.3) in portrait, or 512x960 (8/15 or 0.5333) in landscape.