since w equal the width, the equation for the length is 5 times the width minus 2
that can be represented as 5w-2
the equation for perimeter is 2l+2w=p, where l is the length, w is the width, and p is the perimeter
so, plug in the equation we found into the length part of the perimeter equation and leave 2w the same
2(5w-2)+2w
that makes A correct
however, when you distribute the 2, the equation becomes 10w-4+2w
combine like terms to get 12w-4
that would make d also correct
in conclusion, a and d are the correct answers
hope that helps!!