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Years ago, there weren't standard sized doors, leading to a wide variety. Today, a standard interior doors are 24" or 28" wide by 80" tall. Exterior doors tend to be larger, and measure in at 32" wide or 36" wide by 80" tall.
20 cm. is almost as wide as the standard phone book. Or to put it in other terms, standard letter paper is 8 1/2 inches wide, or 21.5 cm.
Assuming a standard stair size (36" wide & 18" crotch to crotch), or smaller, you would need a piece of carpet 12' wide & 6' 3" long.
The answer depends on the width of the fabric which has not bee mentioned. There are a number of standard widths.
City of Calgary says 2.6m commercial and 2.5m residential widths x 5.4m deep