SOLUTION: Please help. 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.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help. 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.      Log On


   

Question 146373: Please help.
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.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
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.
.
We know that for any rectangle the perimeter is:
L+L+x+x
or
2(Lx)
wher
L=length
x=width
.
In your problem, they gave you the fact that:
perimeter = 6x + 6
.
Since:
perimeter = 2(Lx)
we can perform the substitution:
6x + 6 = 2(Lx)
.
Now, we simply solve for L:
6x + 6 = 2(Lx)
3x + 3 = (Lx)
3 + (3/x) = L