we know that
the perimeter of the rectangle is equal to
[tex] P=2W+2L [/tex]
where
P is the perimeter of the rectangle
W is the width of the rectangle
L s the length of the rectangle
In this problem
[tex] P=146\ units \\ W=2x\\ L=3x+3 [/tex]
Substitute the values in the formula above
[tex] P=2W+2L\\ 146=2*(2x)+2*(3x+3)\\ 73=2x+3x+3\\ 5x=70\\ x=14\ units [/tex]
[tex] W=2x=2*14=28\ units\\ L=3x+3=3*14+3=45\ units [/tex]
therefore
the answer is
the length of the longer side of the rectangle is equal to [tex] 45\ units [/tex]
