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Fantom [35]
3 years ago
14

Scale factor: 1:4

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

Answer:

<em>The area of the real object is 480 square cm</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor.

The scale factor (f) converts a real dimension (x) into a scaled dimension (y) and vice-versa and is computed as:

\displaystyle f=\frac{x}{y}

If the magnitudes are areas, the scaling factor is squared:

\displaystyle f^2=\left(\frac{x}{y}\right)^2

And for volumes:

\displaystyle f^3=\left(\frac{x}{y}\right)^3

If the scale factor is 4, the area of a 30 square cm object is scaled to:

30 * 4^2 = 480

The area of the real object is 480 square cm

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