Question

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

Answer 1

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 $5x$ cm.

That value $x$ by which we multiply the original measurement is called scale factor.

• If we've got $5x > 5$, then $x > 1$ and  its called enlargement.
• If we've got $5x < 5$, then $x < 1$ and its called reduction.
• It we've got $5x = 5$, then $x = 1$ 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.

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