Question

A rectangle's area is given by the expression 6n2 – n + 9. The width of the rectangle is 3n2.



Which expression represents the length of the rectangle?

Answer 1

Length = area ÷ width = (6n^2 − n + 9)/(3n^2). Simplifying termwise:

6n^2/(3n^2) − n/(3n^2) + 9/(3n^2) = 2 − 1/(3n) + 3/n^2 (for n ≠ 0).