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neonofarm [45]
3 years ago
13

A regular pentagon with a perimeter of 21 inches is dilated by a scale factor of 53 5 3 to create a new pentagon. What is the pe

rimeter of the new pentagon?
Mathematics
2 answers:
Anika [276]3 years ago
5 0

Answer:

The perimeter of the new pentagon is 35\ in

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z------> the scale factor

x-----> the perimeter of the dilated pentagon

y-----> the perimeter of the original pentagon

so

z=\frac{x}{y}

we have

z=\frac{5}{3}

y=21\ in

substitute and solve for x

\frac{5}{3}=\frac{x}{21}

x=21*5/3=35\ in

STatiana [176]3 years ago
5 0

Answer:

35 inches

Step-by-step explanation:

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