By definition, the perimeter of a rectangle is given by:
[tex] P = 2w + 2l
[/tex]
Where,
w: width of the rectangle
l: length of the rectangle
We write then the inequality that represents the problem:
[tex] 2l + 2 (29)\geq 134
[/tex]
Rewriting we have:
[tex] l + 29\geq 67
[/tex]
Then, solving the inequality for "l" we have:
[tex] l\geq 67 - 29
[/tex]
[tex] l> = 38
[/tex]
Therefore, the length must be at least 38 feet.
Answer:
An inequality that represents all possible values for the length of the deck is:
[tex] l + 29\geq 67
[/tex]
The possible values for the length of the deck is:
[38, inf)
