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Valentin [98]
3 years ago
12

How many inches are in 10 feet

Mathematics
1 answer:
Andru [333]3 years ago
6 0

I thing 120 because think about it

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Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

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Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

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Now, extremizing this function by derivatives, we have;

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d²A/dy² = ⅛ + (√3)/18)

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So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

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Multiply through by 8 to give;

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y = 2.2132/1.0962

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2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

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Answer:

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