The perimeter of a polygon is the sum of the lengths of all its sides. In the given pentagon, the lengths of the sides are \(3x\), \(x\), \(x+5\), \(2x+3\), and \(x+5\).
So, the expression for the perimeter is:
\(3x + x + (x+5) + (2x+3) + (x+5)\)
Step 2: Simplify the expression
Combine like terms:
\(3x + x + x + 2x + x + 5 + 3 + 5\)
\(8x + 13\)