The rectangle below has an area of 6n^4+20n^3+14n^2

Answer 1

6n^4 + 20n^3 + 14n^2

= 2n^2 (3n^2 + 10n + 7)

=2n^2 (3n+7)(n+1)

the width and length have sides in a ratio of (n+61)/((3n+7)

or (n+1)/(3n+7) multiplied by some factors of 2n^2=2n/n

such as 2n(n+1)/n(3n+7)

IF n=1, for example,

2(10)(2) = 40 = area

width/length could be 20/2, 10/4, etc.