Question

Scale factor: 1:4

Answer 1

Answer:

The area of the real object is 480 square cm

Step-by-step explanation:

Scaling

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