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Question is Incomplete;Complete question is given below;
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:
Length of the plot is 9 meter and width of the plot
is 3 meter.
Sam need to spend $225 on fencing.
Step-by-step explanation:
Given;
Perimeter of the plot =24 m
Length of the plot is denoted ''
Width of the plot is denoted by
Cost of Fencing = $25 per meter.
We need to find the the values of x and y.
Also we need to find how much does Sam need to spend on fencing.
Solution:
Now given that;
length is 3 times its width.
so we get;
Now we know that;
Perimeter of the rectangle is equal to 2 times sum of its length and width.
framing in equation form we get;
But
so we get;
Dividing both side by 8 we get;
Now width of the plot = 3 meter
Length of the plot
Hence Length of the plot is 9 meter and width of the plot
is 3 meter.
Now given that;
Sam wants to fence his rectangular garden plot along its length on the front side.
So we can say that;
Length to be fenced = 9 m
Cost of fencing = $25/meter
Cost of fencing the garden =
Hence Sam need to spend $225 on fencing.