Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The perimeter of the rectangle will be : [tex]2\times(\ length+width)[/tex]
The perimeter will be : [tex]2 \times(2x+3x+3)[/tex]
The perimeter will be : [tex]10x+6[/tex]
As per given question, the perimeter is given as 146 unit.
So,
[tex]10x+6=146[/tex]
Subtracting 6 on both sides
[tex]10x=140[/tex]
[tex]x=14[/tex]
Plugging the value x in sides, the sides will be [tex]2 \times 14=28[/tex] and
[tex]3 \times 14+3=45[/tex]
Hence the length of the longer side is 45 units. : Answer
Hope it will help :)
