SOLUTION: Perimeter of a rectangle. The perimeter of a rectagular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.

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Question 148449This question is from textbook Elementary and Intermediate Algebra
: Perimeter of a rectangle. The perimeter of a rectagular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length. This question is from textbook Elementary and Intermediate Algebra

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter of a rectangle. The perimeter of a rectagular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.
.
The perimeter of a rectangle is:
perimeter=L+L+W+W
or
perimeter=2(L+W)
.
From the problem they gave you two pieces of information:
x=width
and
perimeter = 6x+6
.
Plug the given info into our equation and solve for L:
perimeter=2(L+W)
6x+6=2(L+x)
dividing both sides by 2:
3x+3 = L+x
subtracting x from both sides:
2x+3 = L (this is our solution)