Question

My square orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $4 per foot, and the fencing for the east and west sides costs $2 per foot. Find the total cost of the fencing as a function of the length of a side x.

Answer 1

Answer:

The total cost of the fencing as a function of side is $C = 8\cdot x$.

Step-by-step explanation:

Dimensionally speaking, the total cost is equal to the product of length and cost per length. Given that orchid garden has a square form, there is only an input: Side ($x$), measured in feet. Therefore, the total cost of fencing is represented by the following formula:

$C = (c_{west} + c_{south} + c_{east})\cdot x$

Given that $c_{west} = c_{east} = 2\,\frac{\ }{ft}$ and $c_{south} = \ \,4\,\frac{\ }{ft}$, the total cost of the fencing as a function of side is:

$C = 8\cdot x$