The small sign's perimeter is 36 inches
Step-by-step explanation:
The scale factor between two figures is obtained by:
[tex]Scale = \frac{P_{l}}{P_{s}}[/tex]
So,
We know that
[tex]Scale= 5:3\\P_l = 60\ in\\[/tex]
Putting the values in the above equation of scale factor we get
[tex]\frac{5}{3} = \frac{60}{P_s}[/tex]
Cross multiplication
[tex]5 * P_s = 60*3\\5P_s = 180[/tex]
Dividing both sides by 5
[tex]\frac{5P_s}{5} = \frac{180}{5}\\P_s = 36[/tex]
Hence,
The small sign's perimeter is 36 inches
Keywords: Scale factor, Ratio
Learn more about scale factor at:
- brainly.com/question/8799684
- brainly.com/question/8805387
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