The perimeter of small sign is: 36 inches
Step-by-step explanation:
The ratios will be used to solve the question
Given
Ratio of larger to smaller sign = 5:3
Perimeter larger sign = 60 inches
If there is a scale factor between the signs, there will be a scale factor between perimeters of both signs
Let x be the perimeter of smaller sign
So,
[tex]5:3 = 60:x\\\frac{5}{3} = \frac{60}{x}\\5x = 180[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5} = \frac{180}{5}\\x = 36[/tex]
The perimeter of small sign is: 36 inches
Keywords: Perimeter scale factor
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