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mariarad [96]
2 years ago
6

45 workers can complete a piece of work in 12 days.how many workers should be removed so that it takes 6 more days to complete t

he work
Mathematics
1 answer:
nekit [7.7K]2 years ago
8 0

Answer:

90

Step-by-step explanation:

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A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Four hu
castortr0y [4]

<em>Answer: h = 120 ft;    w = 80 ft </em>

<em></em>

<em>A = 9600 ft^2</em>

<em />

<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>

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<em>A = h*w   (eq1)</em>

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<em>The total amount of fence used is:</em>

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<em>L = 2*h + 2*w + w    (eq2)    (an extra distance w beacuse of the division)</em>

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<em>Solving for w:</em>

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<em>w = L - 2/3*h = 480 - 2/3*h   (eq3)  Replacing this into the area eq:</em>

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<em></em>

<em></em>

<em>We derive this and equal zero to find its maximum:</em>

<em></em>

<em>   Solving for h:</em>

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<em>h = 120 ft.  Replacing this into eq3:</em>

<em></em>

<em>w = 80ft</em>

<em></em>

<em>Therefore the maximum area is:</em>

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<em>A = 9600 ft^2</em>

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