The fraction 6/3 is equivalent to 2. So, it's a integer number once the numerator is multiple of the denominator.
The answer is 25 and make sure it’s correct
Perimeter P=2L+2W
P=24
L=w+4
P=2(w+4)+2w
24=2w+8+2w
24=8+4w
16=4w
w=4
L=8
Please note translations are just movements on a axis, they are not changing the length of a segment at all. In fact, only dilations change the figure. The length of E'F' is going to be the same as the length of EF.
Alternatively, you can write radicals as rational exponents, so that you get
Then recalling that
, you have