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

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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(1513) 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