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 ->  Polynomials-and-rational-expressions -> 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


   

Question 118465: 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 solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
We know the perimeter of a rectangle is P%5Br%5D=2l+%2B+2w.

In this case, w+=+x, so we can say that our perimeter is 2l%2B2x by direct substitution.

We are also given that the perimeter is 6x + 6, so we can create the following equation:

2l%2B2x=6x%2B6.

Now solve for l:

2l+=+4x%2B6
l=2x%2B3

Check:
P%5Br%5D=2l%2B2w=2%282x%2B3%29%2B2x=4x%2B6%2B2x=6x%2B6