The perimeter is: [tex]-5x+82[/tex]
Step-by-step explanation:
We have to add all the sides to find the perimeter.
Given sides are:
[tex]Side\ 1: 17-x\\Side\ 2: 24-x\\Side\ 3: 4-3x\\Side\ 4: x+1[/tex]
Perimeter is the measurement of outer boundary of a closed geometrical figure.
Let P be the perimeter
Then
[tex]P = Side\ 1 + Side\ 2+ Side\ 3+Side\ 4\\P = (17-x) + (24-x) + (40-3x) + (x+1)\\P = 17-x+24-x+40-3x+x+1[/tex]
Combining like terms
[tex]P = -x-x-3x+x+17+24+40+1\\P = -6x+x+82\\P = -5x+82[/tex]
Hence,
The perimeter is: [tex]-5x+82[/tex]
Keywords: Perimeter, Parallelogram
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