Answer:
See below
Step-by-step explanation:
y=-2x + 3
y = -2*3x
Both equations are lines.
Two lines will intersect at one point
I will set the two equations equal and solve for the x coordinate.
-2x+3 = -6x
Add 2x from each side
3 = -4x
Divide by -4
-3/4 = x
Now find y
y = -6x
y = -6(-3/4)
y = 18/4 = 9/2
The solution is ( -3/4, 9/2)
The width is 8 because 4x8=32
The Lagrangian is

with critical points where the partial derivatives vanish.



Substitute
into the last equation and solve for
:

Then we get two critical points,

We get an absolute maximum of
at the second point, and an absolute minimum of
at the first point.
Answer:
17 meters
Step-by-step explanation:
The perimeter is the addition of all sides. Since the perimeter is 68 meters and a square has 4 sides, we can divide 68 by 4 and we get 17.
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