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Yuki888 [10]
3 years ago
11

A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence paral

lel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence?
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0
  <span>13.5 = lw 

13.5/l = w 

3l + 2w = C 

C = 3l + 2*(13.5/l) 

C = 3l + (27/l) 

dC(l)/dl = 0 

3 - (27/l^2) = 0 

3*(l^2) - 27 = 0 

(l^2) - 9 = 0 

(l - 3)*(l + 3) = 0 

l = 3 

13.5 = 3w 

l = 3000; w = 4500

Therefore, to minimize the cost of the fence, length should be 3000 ft while width should be 4500 ft.</span>
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5

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Answer:

Total charge

=

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=

 

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Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

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⇒

(

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$

4.25

+

(

total miles

−

1

)

×

$

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

$

4.25

+

(

m

−

1

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×

$

1.50

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$

4.25

+

$

1.50

(

m

−

1

)

So

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=

$

4.25

+

$

1.50

(

m

−

1

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the charge for 12 miles

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=

$

4.25

+

$

1.50

(

12

−

1

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4.25

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Total charge for 12 miles

=

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4.25

+

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16.50

 

=

 

$

20.75

Hope this helps you...

:)

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