Ross wants to cut a 40-foot rope into two pieces so that the length of the first piece divided by the length of the second piece
is 2. a. Let x represent the length of the first piece. Write an equation that represents the relationship between the pieces as stated above.
b. What values of x are not permissible in this equation? Describe within the context of the problem what situation is occurring if x were to equal this value(s). Rewrite as a system of equations to exclude the value(s).
c. Solve the equation to obtain the lengths of the two pieces of rope. (Round to the nearest tenth if necessary.)