SOLUTION: Can you tell me what the perimeter of a rectangular backyard is that is 6x + 6 yards. If the width is x yards, can you please find a bionomial that represents the length. Than

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Question 169153This question is from textbook Elementary and Intermediate Algebra
: Can you tell me what the perimeter of a rectangular backyard is that is
6x + 6 yards. If the width is x yards, can you please find a bionomial that
represents the length. Thanks! This question is from textbook Elementary and Intermediate Algebra

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
Can you tell me what the perimeter of a rectangular backyard is that is
6x + 6 yards. If the width is x yards, can you please find a bionomial that
represents the length. Thanks!

The perimeter is 2 times the width plus 2 times the length. If the width is x and the perimeter is 6x+6, than the expression that equals the length would be:

length=%28%286x%2B6%29-2x%29%2F2

The expression above is derived from the following:
2%28width%29%2B2%28length%29=perimeter
2x%2B2%28length%29=6x%2B6
2%28length%29=6x%2B6-2x
length=%28%286x%2B6%29-2x%29%2F2

Now simplify the expression length=%28%286x%2B6%29-2x%29%2F2:

length=%284x%2B6%29%2F2
length=2x%2B3