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 perimete

Question

3 years ago

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1 answer:

Ulleksa [173] · Answer 1 · 2022-01-05T20:36:20+03:00

The small sign's perimeter is 36 inches

Step-by-step explanation:

The scale factor between two figures is obtained by:

$Scale = \frac{P_{l}}{P_{s}}$

So,

We know that

$Scale= 5:3\\P_l = 60\ in\\$

Putting the values in the above equation of scale factor we get

$\frac{5}{3} = \frac{60}{P_s}$

Cross multiplication

$5 * P_s = 60*3\\5P_s = 180$

Dividing both sides by 5

$\frac{5P_s}{5} = \frac{180}{5}\\P_s = 36$

Hence,

The small sign's perimeter is 36 inches

Keywords: Scale factor, Ratio

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