The value of x is 6.
Explanation:
The perimeter of the pentagon is 22.5 cm
Since, each side has the same length, then, the side of the pentagon is [tex](x-1.5)cm[/tex]
The formula for perimeter of the pentagon is given by
[tex]P=5a[/tex]
where P is the perimeter and a is the length of the sides.
Substituting the values, we get,
[tex]22.5=5(x-1.5)[/tex]
Simplifying the expression, we get,
[tex]22.5=5x-7.5[/tex]
[tex]30=5x[/tex]
[tex]6=x[/tex]
Thus, the value of x is 6.
