Question

Miss Kito is building a rectangular pen for her lea.She will use the side of her house for one wall of the pen;therefore she will not need any fencing on that side.On the other three sides, she will use special fencing that costs $12 per foot . She wants the entire enclosed area to be 2400 square feet. Lastly,she needs four corner that costs $5 each ?
Let x represent the length of each side of the pen perpendicular to the house and let y represent the length of the side of the pen parallel to the house.Write a function c(x) for the cost of the materials for the llama pen in terms of x. Simplify

Please explain and thank you

Answer 1

Answer:

The answer is "$=24x+ \frac{28800}{x}+20$"

Step-by-step explanation:

The perimeter of the fence $=2x+y$

cost of fence$=12(2x+y)$

cost of corner ports$= 4 \times 5=20$

cost of pen$= 24x+12y+80.............(1)$

area of pen$=2400$

$xy=2400\\\\y=\frac{2400}{x}$

cost c(x)$=24x+ \frac{12 \times 2400}{x}+20$

             $=24x+ \frac{28800}{x}+20$