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.)