16. Levi has two pieces of decorative tapes, one x cm long and the other x(x+1) cm long. To decorate an album, she wants to cut them up to produce many
pieces of decorative tapes that are all of the same length, with no left overs.

a. Express in terms of x the greatest possible length, in cm, that she can cut
them into.

b. The difference in length between the two tapes is 4 cm. What is the value of

c. Hence, or otherwise, how many smaller decorative tapes can she produced in
all?
​