A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Four hundred and eighty feet of fencing is used.
Find the dimensions of the playground that maximize the total enclosed area. What is the maximum area?
The smaller dimension is ? feet

Answers

Answer 1

Answer: h = 120 ft;    w = 80 ft

A = 9600 ft^2

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

A = h*w   (eq1)

The total amount of fence used is:

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

Solving for w:

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

We derive this and equal zero to find its maximum:

  Solving for h:

h = 120 ft.  Replacing this into eq3:

w = 80ft

Therefore the maximum area is:

A = 9600 ft^2


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A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.​

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Answer:

X = 4 because 20 times 16 is 320 than if you add 4 to the 20 you will get 24. 24 times 16 is 384. BOom thats your answer and i know because i just answered it.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Hello

I see you are very confused by this problem. However, there is an easy way to solve this one.

It has been proved that the sum of all angles in a rectangle is always 180°. Here is a way to prove it:

x y

_______A_________

/\

/ \

/ \

/ \

___/_______ \__

B C

we have two parellel lines xy and BC. It is true that:

xAy = 180°

xAB + BAC + CAy = xAy = 180

xAB = ABC

CAy= ACB

=> ........

I'll let you finish with your great intellect ^_^

HOPE YOU LEARN WITH JOY AND GOOD GRADE

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation

For the first part.

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Answer:

Given:

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[tex]\sf {\dfrac {f}{3}}[/tex]

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Answer:

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Answers

Answer:

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Step-by-step explanation:

hope this helps, if yes please can u give me a brainly?

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Answers

Answer:

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Step-by-step explanation:

Add the numbers

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Rearrange terms

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An expression is,

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⇒ - x - 8y + 5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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