Question 1002481: Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width.
If x is the length and y is the width of the plot, set the equations of the system.
Solve and determine the values of x and y.
If the cost of fencing is $25 per meter, how much does Sam need to spend on fencing?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Sam wants to fence his rectangular garden plot along its length on the front side.
The perimeter of the plot is 24 meters, and its length is 3 times its width.
x = 3y
If x is the length and y is the width of the plot, set the equations of the system.
2x + 2y = 24
simplify, divide by 2
x + y = 12
Solve and determine the values of x and y.
replace x with 3y
3y + y = 12
4y = 12
y = 3 meters is the width
then
3(3) = 9 meters is the length
:
If the cost of fencing is $25 per meter, how much does Sam need to spend on fencing?
Assuming he wants of only fence the front length
9 * 27 = $243
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