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denpristay [2]
3 years ago
10

Please help!3-5x+6(-x-2)

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0
The answer to your question is-9
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Of all rectangles with area 324324​, which one has the minimum​ perimeter? Let P and w be the perimeter and​ width, respectively
ra1l [238]

Answer:

For w = 18 units perimeter is minimum

P = 2(18 + w)

Step-by-step explanation:

Given;

Area of the rectangle = 324 units²

P is the perimeter

w is the width

Let L be the length of the rectangle

therefore,

P = 2(L + w)  ............(1)

also,

Lw = 324

or

L = \frac{324}{w} ..........(2)

substituting 2 in 1

P = 2(\frac{324}{w} + w)

now,

for minimizing the perimeter

\frac{dp}{dw}=\frac{d(2(\frac{324}{w} + w))}{dw} = 0

or

2((-1)\frac{324}{w^2}+1) = 0

or

(-1)\frac{324}{w^2}+1 = 0

or

(-1)\frac{324}{w^2} = -1

or

w² = 324

or

w = 18 units

For w = 18 units perimeter is minimum

therefore,

from 2

L = \frac{324}{18}

or

L = 18 units

objective function for P is:

P = 2(18 + w)

8 0
3 years ago
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