The perimeter of a rectangle is the sum of twice the width and twice the length
The function that gives the cost of fencing is given from the graph by the following function;
The reason why the above function is correct is as follows:
Question: Please find attached the required diagram used to obtain the function;
The given parameters are;
Area of the square rectangle = 250 m²
Length of the side of the pen wall parallel to the coop = x
Cost of fencing per foot, c = $10
The function for the cost in dollars of fencing, C(x) = 10x + 5000
Solution:
Let y represent the length of the other side, we have;
x × y = 250
Therefore;
[tex]P = x + 2 \times \dfrac{250}{x} = x + \dfrac{500}{x}[/tex]
The total cost of the fencing, C(x) = c × P
Therefore;
[tex]\mathbf{C(x)} = 10 \times \left(x + \dfrac{500}{x} \right) = 10 \cdot x + \dfrac{5,000}{x}[/tex]
Learn more about functions here:
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