1 answer:
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Answer:
There is no minimum cost for the fencing that can satisfy these conditions.
as the equation obtained for this problem is y = .
Step-by-step explanation:
let length of the rectangular rose garden be x
and breath of the rectangular rose garden be y
then the area of the garden = xy
cost of fencing a foot for the 3 non road sides = $6
and cost of fencing a foot for a road side = $8
total cost of fencing = 6x + 8x + 6y + 6y
so, total cost = 14x + 12y
cost of fencing for every square foot of the area =$2
So, 2xy = 14x + 12y
=> 2xy = 14x + 12y
Also, x and y has to satisfy x>0 and y>0
You can solve for y (or x if you prefer)
2xy-12y=14x
xy - 6y = 7x
y(x-6)=7x
y =
we can check that this function has no minimum value.
as we increase x (starting any x > 6 to make y positive) to make y minimal, y will decrease but the product xy will increase.
So, there is not a minimum cost for fencing that can satisfy these conditions.
Answer:
4 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = h(a + b)
where h is the height and a, b the bases
here A = 46, a = 6 and b = 17, hence
46 = h(6 + 17) ( multiply both sides by 2 )
92 = h(23) ← divide both sides by 23 )
h = = 4 units