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padilas [110]
3 years ago
11

A regular octagon has side lengths of 9 units. Each side of the octagon is

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

The perimeter of the original octagon is:

  • <u>72 units. </u>

The perimeter of the new octagon is:

  • <u>288 units.</u>

Step-by-step explanation:

When it is mentioned that an octagon is regular, it means that all its sides are equal, therefore, each side of the original octagon has a length of 9 units, considering the formula of the octagon's perimeter:

  • Perimeter of an octagon = 8 * length.

By replacing you get:

  • Perimeter of the original octagon = 8 * 9 = 72 units.

For the new octagon, it is mentioned that each side increases by 27 units, therefore:

  • New length = 27 + 9 = 36 units.

Applying the formula of perimeter of an octagon with the new values we obtain:

  • <u>Perimeter of the new octagon = 8 * 36 = 288 units.</u>
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