Respuesta :
The square has 4 sides: the north, south, east and west ones. Each side is x feet long, because the side of a square are all equal in length. We know the cost per foot for each side:
- 1 foot of the north side costs 5, so x feet of the north side cost 5x
- 1 foot of the south side costs 5, so x feet of the south side cost 5x
- 1 foot of the west side costs 7, so x feet of the west side costs 7x
- 1 foot of the easta side costs 7, so x feet of the east side costs 7x
The total cost of the fence is the sum of the costs of the sides, so we have
[tex] T = 5x+5x+7x+7x = 10x+14x = 24x [/tex]
So, if each side is x feet long, the fence will cost 24 times the length of each side.
The total cost of the fencing is a function of the length of a side x (feet) is ''Total cost = 10x + 14y''.
Given that
I want to fence in a square vegetable patch.
The fencing for the east and west sides costs $7 per foot, and the fencing for the north and south sides costs only $5 per foot.
We have to find
The total cost of the fencing is a function of the length of a side x (feet).
According to the question
The east and west fencing cost is $7/ft but the south and north fencing cost is $5/ft.
The cost is cheaper for fencing north and south sides of the east and west side.
The perimeter is made by adding the south, north, east, and west side.
If x = north and south fencing and y = is the east and west sides, then you can get this equation.
Total cost= (south +north) × 5 + (east+ west) × 7
Total cost =(x + x) × 5 + (y+ y) × 7
Total cost = 5(2x) + 7(2y)
Total cost = 10x + 14y
Hence, the total cost of the fencing is a function of the length of a side x (feet) is ''Total cost = 10x + 14y''.
To know more about Equation click the link given below.
https://brainly.com/question/1687505
