Mathematics: Afactory worker packs 32 mugs into the bottom layer of a box for shipping. if each box can hold 6 layers of mugs, how many mugs can be packed into each box?

Afactory worker packs 32 mugs into the bottom layer

angelinagiraffp538zb

01.03.2021

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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