Answer:
11 feet
Step-by-step explanation:
You want the length of the longest side of a triangle when the perimeter is 27 feet and the side lengths are consecutive odd integers.
The middle of three consecutive odd integers is their average. The average is their sum divided by 3, so is (27 ft)/3 = 9 ft.
Then the side lengths are 7 ft, 9 ft, 11 ft.
The longest side is 11 feet long.
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Additional comment
The perimeter is the sum of the side lengths.