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Hitman42 [59]
2 years ago
5

Janet is designing a garden in her backyard that is a regular octagon with a side length of 6 ft and an apothem of 7.24

Mathematics
2 answers:
Elza [17]2 years ago
7 0

Answer:

c. \sf area \ of  \ octagon = 173.82 \ ft^2

Explanation:

\sf area \ of  \ octagon = 2(1+\sqrt{2} )a^2

Here "a" refers to side length.

<u>using this formula:</u>

<u></u>

\hookrightarrow \sf area \ of  \ octagon = 2(1+\sqrt{2} )(6)^2

\hookrightarrow \sf area \ of  \ octagon = 173.82 \ ft^2

Lorico [155]2 years ago
4 0

Solution:

<u>It should be noted:</u>

  • Area of regular octagon: 2(1 + √2)x² (x = side)

<u>Substitute the side length into the formula.</u>

  • 2(1 + √2)x²
  • => 2(1 + √2) × 6²

<u>Simplify the distributive property.</u>

  • => 2(1 + √2)36
  • => 72(1 + √2)
  • => 72 + 72√2

<u>Simplify 72√2 using a calculator.</u>

  • => 72 + 101.82

<u>Add if needed.</u>

  • => 173.82 ft²

Looking at the options, it is said that option C is correct as <u>173.8</u> and <u>173.82</u> are <em>approximate</em> numbers.

Option C is correct.

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