Question

if the surface area of the image is 72 and the scale factor of sides is 3 then what is the surface area of the original figure

Answer 1

When two objects are similar then the area scale factor is given by

`\frac{\text{ scaled figure}}{\text{original figure}}=3^2=9`

So, we have

`\text{ original figure =}\frac{\text{ scaled figure}}{\text{9}}`

By substituting the given values, we have

`\text{ original figure =}\frac{\text{ 7}2}{\text{9}}`

Therefore, the surface area of the original figure is 8 square units