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Fudgin [204]
3 years ago
15

My square orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern bounda

ry 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.
Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

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

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