As a property owner, you want to fence a garden which is adjacent to a road. The fencing next to the road must be stronger and cost $6 per foot. The fencing on the other sides cost $4 per foot. The area of garden is 2400 square feet. Required:
Find a function that models the cost of fencing the garden.

Step-by-step explanation:

Let the dimension of the garden be x and y

Area of the graden =xy

Since the area of garden is 2400 square feet.

xy=2400

Making y the subject, we have:

Let the side next to the road =x

Therefore, total cost of fencing the garden,

C(x,y)=6x+4x+4y+4y

C(x,y)=10x+8y

Substituting derived earlier, we have:

Therefore, a function that models the cost of fencing the garden is:

step-by-step explanation:

; fx