SOLUTION: Hi, I need help with the following: The perimeter of a rectangular backyard is 6x+6 yards. If the width is x yards, find a binomial that represents the length.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, I need help with the following: 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


   

Question 81533: Hi, I need help with the following: 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 rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
P=2W+2L

Given that P=6x+6 and W=x, substitute these into the equation P=2W + 2L and solve for L:
6x+6 = 2x + 2L

Subtract 2x from each side:
6x+6 -2x = 2x-2x+2L
4x+6 = 2L

Divide both sides by 2:
%284x%29%2F2+%2B+6%2F2+=+%282L%29%2F2+
2x+%2B+3+=+L

R^2 at SCC