SOLUTION: I know that I need to have an equation but I don't understand how to make one or what to do next. Please help with steps. The length of a rectangle is 14 more than the width. Th

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Question 149103: I know that I need to have an equation but I don't understand how to make one or what to do next. Please help with steps.
The length of a rectangle is 14 more than the width. The perimeter of the rectangle is 264 meters. What are the dimensions of the rectangle?

Found 3 solutions by solver91311, jojo14344, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is given by P=2L+%2B+2W where L is the length and W is the width. You are given that the length is 14 more than the width, so you can say L=W%2B14, and you are given that P=264. So take the equation for the perimeter:

P=2L+%2B+2W and substitute:

264=2%28W%2B14%29%2B2W

Now all you have to do is solve that equation for W to get the width, and add 14 to that answer to get the length.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
We have to start with formula of finding the Perimeter of Rectangle:
P=2%28L%2BW%29 -----------> eqn 1
.
Next, label the given:
W= unknown
L= W+14, right? (14 more)
P= 264 meters
Substituting in eqn 1,
264= 2(W+14+W)
264= 2(2W+14)=4W+28
W=%28264-28%29%2F4
W=59.meters
For L = 59+14
L=73.meters
In doubt? Go back eqn 1,
264=2%2873%2B59%29
264=2%28132%29
264=264
Thank you,
Jojo

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The opposite sides of a rectangle are equal
They could be 12,12,5 , and 5
or 33,33,8, and 8
or a, a, b, and b
The problem says the perimeter is 264 meters, so
a+%2B+a+%2B+b+%2B+b+=+264 meters
If a is the length and b is the width,
a+=+b+%2B+14 meters
Plug this expression for a into the 1st equation
%28b+%2B+14%29+%2B+%28b+%2B+14%29+%2B+b+%2B+b+=+264
2b+%2B+28+%2B+2b+=+264
4b+=+236
b+=+59
a+=+b+%2B+14
a+=+59+%2B+14
a+=+73
The length is 73 meters and the width is 59 meters
check answer:
a+%2B+a+%2B+b+%2B+b+=+264
73+%2B+73+%2B+59+%2B+59+=+264
146+%2B+118+=+264
264+=+264
and
a+=+b+%2B+14
a+=+59+%2B+14
a+=+73
OK