SOLUTION: The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 169465: The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
Remember: P%5BR%5D=2%28L%2BW%29 ------> P=2L%2B2W, EQN 1
Given:---> system%28P%5BR%5D=6x%2B6%2CW=x%2CL=L%29
Subst.
6x%2B6=2L%2B2x
%286x-2x%2B6%29%2F2=L
%284x%2B6%29%2F2=L
L=%284x%2F2%29%2B%286%2F2%29=2x%2B3, Answer
Check via Eqn 1:
6x%2B6=2%282x%2B3%29%2B2x
6x%2B6=4x%2B6%2B2x
6x%2B6=6x%2B6, good
Thank you,
Jojo