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:
[tex]\displaystyle f=\frac{x}{y}[/tex]
If the magnitudes are areas, the scaling factor is squared:
[tex]\displaystyle f^2=\left(\frac{x}{y}\right)^2[/tex]
And for volumes:
[tex]\displaystyle f^3=\left(\frac{x}{y}\right)^3[/tex]
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
