First we can find the perimeter of the given rectangle
P=2L+2W (L=length and W=width) P=2*3+2*4 P=6+8 P=14
So now we want to come up with a different combination of numbers that would give up a perimeter of 14. We know that 14 is divisible by 2 so let's make out width 2. If we plug in 2 as the width and 14 as the perimeters, we can solve for length
14=2L+2*2 14=2L+4 10=2L (subtract 4 from both sides) L=5