9514 1404 393
Answer:
3.6 ft
Step-by-step explanation:
Apparently, you're supposed to use the formula ...
A = (1/2)Pa
where A is the area, P is the perimeter, and 'a' is the apothem.
a = 2A/P = 2(43.26)/24 ≈ 3.605
The apothem is about 3.6 feet.
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Comment on the problem
For whatever reason, problems involving the use of the apothem are often inconsistently written. This one is no exception. The formula for the area in terms of side length is ...
A = 2(1 +√2)s²
The apothem is ...
a = s/(2·tan(22.5°))
For the given perimeter, A ≈ 43.46 square feet, and 'a' ≈ 3.621 ft.