SOLUTION: hi, i was wondering if someone could help me solve this problem, and show me how to do it. 24. Gary has 1002 meters of fencing. Her will use all the fencing to enclose a rectang

Algebra ->  Length-and-distance -> SOLUTION: hi, i was wondering if someone could help me solve this problem, and show me how to do it. 24. Gary has 1002 meters of fencing. Her will use all the fencing to enclose a rectang      Log On


   

Question 146461This question is from textbook College Geometry Musser, Trimpe, and Maurer
: hi, i was wondering if someone could help me solve this problem, and show me how to do it.
24. Gary has 1002 meters of fencing. Her will use all the fencing to enclose a rectangular region that is four times as long as it is wide. One of the longer sides is bordered by a rive, so that side will not be fenced. What will be the dimensions of the region?
Please show work if possible. Thank you This question is from textbook College Geometry Musser, Trimpe, and Maurer

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Gary has 1002 meters of fencing. He will use all the fencing to enclose a rectangular region that is four times as long as it is wide.
One of the longer sides is bordered by a river, so that side will not be fenced.
What will be the dimensions of the region?
----------------------
Draw the figure and lable the width "x" and the length "4x".
EQUATION:
1002 = 4x + x + x
6x = 1002
x = 167 meters (width of the enclosure)
4x = 668 meters (length of the enclosure)
=================
Cheers,
Stan H.


Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
SOLUTION BY EDWIN:

hi, i was wondering if someone could help me solve this problem, and show me how to do it.
24. Gary has 1002 meters of fencing. He will use all the fencing to enclose a rectangular region that is four times as long as it is wide. One of the longer sides is bordered by a rive, so that side will not be fenced. What will be the dimensions of the region?
Please show work if possible. Thank you

Let this be the figure:


 
Let the two short sides each be x, and the long side 4x



Now since there are 1002 meters of fencing, if we add the
three fenced sides, we must get 1002, so

LEFT_SIDE%2BRIGHT_SIDE%2BBOTTOM_SIDE=1002

x+%2B+x+%2B+4x+=+1002

6x+=+1002

x=167

So the left and right sides are 167 meters each.

The long side is 4x, so that is 4(167) or 668 meters.

So the dimensions of the region are 668 meters by 167 meters.

Edwin