Question

Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know. Help please

Answer 1

The scale factor is 3.

Explanation:

Since,

`\text{Scale factor}= \frac{\text{scaled measure}}{\text{actual measure}}`

∵ If sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor,

`\implies \text{Scale factor}=\frac{\text{scaled perimeter}}{\text{Actual perimeter}}`

By the given drawing,

The actual perimeter of the polygon = 10 unit,

Also, the scaled perimeter = 30 units ( given )

Hence,

`\text{Scale factor}=(30)/(10)=3`