SOLUTION: The perimeter of a rectangle is 16 times the width. THe length us 12cm more than the width. WHat is the length and width of the rectangle? I can't figure out the formula to solve t

Question 243047: The perimeter of a rectangle is 16 times the width. THe length us 12cm more than the width. WHat is the length and width of the rectangle? I can't figure out the formula to solve the problem.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
We know the perimeter of a rectangle = P = 2W + 2L, where W=width and L=length.
...
We are told P = 16W, so 16W = 2W + 2L.
Subtracting 2W from both sides:
14W = 2L
Dividing by 2:
7W = L
...
We are told L-12=W.
Substituting for L, we have
7W-12 = W
Adding 12 to both sides
7W = W + 12
Subtracting W from both sides
6W = 12
Dividing by 6
W = 2
...
Since L is 12 more than W (given), we have
L = W + 12 = 2 + 12 = 14
L = 14
...
To check our work, let's substitute back into the givens.
P = 2(2) + 2(14) = 4 + 28 = 32.
Is 32 = 16W? Yes it is.
Done.
RELATED QUESTIONS
The perimeter of a certain rectangle is 16 times the width. The length is 12cm more than... (answered by solver91311)

Who do I solve the perimeter of a certain rectangle is 16 times the width. The length is... (answered by ankor@dixie-net.com)

what is the perimeter of a rectangle with the length of 75cm and width of 12cm? (answered by checkley77)

what is the length and width of a rectangle if the length is 12 more than the width and... (answered by rfer)

the perimeter of a rectangle is 58ft. the length is 5 feet more than 2 times the width.... (answered by ewatrrr)

The perimeter of a rectangle is 68 inches. if the length is 4 more than 3 times the... (answered by jpvn2015,MathTherapy)

The perimeter of a rectangle is 24 in and its length us 3 times its width. What are the... (answered by JulietG)

The length of a rectangle is 8m more than 6 times the width. the perimeter is 156. what... (answered by ewatrrr)

The length of a rectangle is 5 more than its width. If perimeter is 58ft, what are length (answered by stanbon)