SOLUTION: The area of a rectangle is {{{ 6n^2+n-2 }}}. Which expression could represent the perimeter of of the rectangle? A. {{{ 2n-1 }}} B. {{{ 3n+2 }}} C. {{{ 5n+1 }}} D. {{{ 10n+2

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The area of a rectangle is {{{ 6n^2+n-2 }}}. Which expression could represent the perimeter of of the rectangle? A. {{{ 2n-1 }}} B. {{{ 3n+2 }}} C. {{{ 5n+1 }}} D. {{{ 10n+2       Log On

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Question 724378: The area of a rectangle is +6n%5E2%2Bn-2+. Which expression could represent the perimeter of of the rectangle?
A. +2n-1+
B. +3n%2B2+
C. +5n%2B1+
D. +10n%2B2+
Found 2 solutions by mananth, lwsshak3:
Answer by mananth(16946) About Me  (Show Source):
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is +6n%5E2%2Bn-2+. Which expression could represent the perimeter of of the rectangle?
6n^2+n-2
factor:
(3n+2)(2n-1)
These two factors could represent the length and width of the rectangle.
perimeter=2*length+2*width
=2(3n+2)+2(2n-1)
=6n+4+4n-2
=10n+2 (ans. D)