Answer: 12 meters
Step-by-step explanation:
Let the width of the rectangle be w.
Then the length of the rectangle will be 2+3w
We know that the perimeter of a rectangle is given by :-
\(\text{P}=2(l+w)\), where l is length and w is width of the rectangle.
Now, according to the question, we have
\(2(w+2+3w)=100\\\\\Rightarrow2(2+4w)=100\\\\\Rightarrow\ 4+8w=100\\\\\Rightarrow\ 8w=96\\\\Rightarrow w=12\ \text{meters}\)
Hence, the width of the rectangle = 12 meters
