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Two similar FOR SALE signs have a scale factor of 5:3. The largest sign’s perimeter is 60 inches. Find the small sign’s perimeter.

Respuesta :

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

Learn more about perimeter at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

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