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Not true for several reasons. Assuming the map scale is 1:250000, that means the the map is showing distances as one 250000th of the real distance, not 2500000. Furthermore, the given scale applies to distance. For area the appropriate factor is (250000)2 so 62500000000th of the real area.
world map
That's true of the Mercator projection, among others.
The meaning of the phrase "not to scale" is to let you know that the drawing, map, etc. does not represent the real world lengths or measures. In other words, if you were to look at a map with 3 towns on it, you couldn't use the visual distance to determine which one was closer. Similarly, the photograph of a product (like a plastic bead) which is on the box is not representing the true size of the object.
look at the scale of the map