Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

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02-06-2018
Mathematics

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Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

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astha8579 astha8579 · Answer 1 · 2022-02-19T11:47:37+01:00

Scaling a measurement is multiplying it with some constant. The enlargement will increase scale factor and reduction will decrease it.

How does scaling works?

Suppose that you've got a measurement as 5 cm.

Now if you scale it, then you multiply it with 'x'. The final value is [tex]5x[/tex] cm.

That value [tex]x[/tex] by which we multiply the original measurement is called scale factor.

If we've got [tex]5x > 5[/tex], then [tex]x > 1[/tex] and its called enlargement.
If we've got [tex]5x < 5[/tex], then [tex]x < 1[/tex] and its called reduction.
It we've got [tex]5x = 5[/tex], then [tex]x = 1[/tex] and thus, there was no change.

Thus, we get that:

If building is enlarged, the scale factor is bigger than 1, if building is reduced, then the scale factor is smaller than 1.

Learn more about scaling here:

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