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You need information about a pre-image AND and image to work out a scale factor.
You need the original shape, the scale of enlargement and the centre of enlargement.
A scale factor needs two numbers, not just one., And they need to have measurement units - such as inches, millimetres, miles or whatever.
The scale or enlargement factor.
The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement.