# SOLUTION: Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length. please show all work and sol

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length. please show all work and sol      Log On

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 Click here to see ALL problems on Length-and-distance Question 45694: Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length. please show all work and solution. ThanksAnswer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!P=2[length + width] [Formula for a perimeter] (6x+6)=2[(length) + (x)] [Plug-in the given values] 6x+6=2(length) + 2x [Distribute the 2] (6x+6) - 2x = 2(length) +2x-2x [Solve for length] 6x+6-2x=2(length) 4x+6=2(length) (4x+6)/2=2(length)/2 (4x+6)/2=length 2(2x+3)/2 = length [Factor and cancel out] 2x+3=length [Final answer] . Check the answer by plugging (length = 2x+3) back into the original formula. P=2[length + width] [Returning to the formula for a perimeter] P = 2[(x) + (2x+3)] P = 2x+4x + 6 P = 6x+6 [Checks out]