SOLUTION: I need help with the following, as I have already tried and my solution was wrong. Thanks! The length of a rectangle is twice its width. If the perimeter of the rectangle is 54m,

Algebra ->  Rectangles -> SOLUTION: I need help with the following, as I have already tried and my solution was wrong. Thanks! The length of a rectangle is twice its width. If the perimeter of the rectangle is 54m,       Log On


   

Question 905866: I need help with the following, as I have already tried and my solution was wrong. Thanks!
The length of a rectangle is twice its width. If the perimeter of the rectangle is 54m, find its area.
Found 2 solutions by josgarithmetic, tutoringisfun:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Basic formulas: p for perimeter, w for width, L for length,
highlight_green%28p=2w%2B2L%29.

You are given L=2w and p=54.
2w%2B2L=54
2w%2B2%282w%29=54
w%2B2w=27
3w=27
w=27%2F3
highlight%28w=9%29

Use again what was given and evaluate L.
L=2w
L=2%2A9
highlight%28L=18%29

Answer by tutoringisfun(17) About Me  (Show Source):
You can put this solution on YOUR website!
Good day student. I hope this will be helpful to you.I wish I knew what the answer you got was so I could see what you did wrong, but here is how I did it.
first you write down information in the problem which is as follows:
P=54
L=2w it is important to write it down so you don't get confused as you work the problem.
You also need to know the formulas for area and perimeter of a rectangle.
A=LW and P=2L +2w
we are going to work with the perimeter formula first to solve for L and W.

Using the formula p=2L +2w you can substitute the information from the problem into the formula.
54=2L +2W
now substitute 2w for L and solve for w
54= 2(2w) + 2w
distribute the 2 in front of the parenthesis as follows:
54=4W + 2w
combine like terms
54=6w
since we want to isolate w, we have to divide both sides by 6
54/6=6w/6 the sixes on the right side cancel out and we are left with just w
9=w
from the problem we know that L=2w so to get the length you substitute 9 for w and get L=2(9) multiply and you get L=18
now we use the formula for area A=LW and substitute the values of 9, 18 for the respective variable:
A=(9)18 multiply
A=162 meters
I hope that this is helpful to you. If you desire paid assistance, please contact me through my websitewww.facebook.com/tutoringinquiry or online through www.instaedu.com or via email at mbarre1@wgu.edu. I will be happy to discuss my services in detail with you.Have a great day.