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2 years ago

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

Mathematics

1 answer:

Alex Ar [27]2 years ago

5 0

Answer:

The scale factor is 3.

Step-by-step 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,

$\text{Scale factor}=\frac{30}{10}=3$

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Answer:

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