For this case, the first thing we must do is define a variable.
We have then:
x: shorter side length, odd number.
We now write the equation for the perimeter of the trig:
[tex]x + (x + 2) + (x + 4) = 33
[/tex]
From here, we clear the value of x.
We have then:
[tex]3x + 6 = 33
3x = 33 - 6
x = 27/3
x = 9[/tex]
Then, the length of the longest side is:
[tex]x + 4 = 9 + 4 = 13
[/tex]
Answer:
The length of the longest side is 33 inches.
