Question

Scale factor: 1:4

Area a
30 square om
Scale drawing
Object
O A. 30 square cm
O B3 120 square cm
OC. 24 square cm
O D. 480 square cm

Answer 1

The area of the real object is 480 square cm

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=(x)/(y)`

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

`\displaystyle f^2=\left((x)/(y)\right)^2`

And for volumes:

`\displaystyle f^3=\left((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