1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Orlov [11]
3 years ago
7

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

ndred 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
Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

<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>

<em></em>

<em>A = h*w   (eq1)</em>

<em></em>

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

<em></em>

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

<em></em>

<em>Solving for w:</em>

<em></em>

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

<em></em>

<em></em>

<em></em>

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

<em></em>

<em>   Solving for h:</em>

<em></em>

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

<em></em>

<em>w = 80ft</em>

<em></em>

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

<em></em>

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

<em />

You might be interested in
In the figure, angle K measures 45 degrees. What is the measurement of angle C?
Delvig [45]

It is 45 because the triangle should be 180 degree and if K is 45 then J should be 45, too. We all know that the right triangle is 90 degree, so we add angle J and G, it is 135. Lastly, you subtract 180- 135=45.

5 0
3 years ago
The population of a certain city decreased by 18,000 people. Write a signed number to represent this population change.
Burka [1]

Answer:

Answer

Step-by-step explanation:

Step-by-step explanation

3 0
3 years ago
1.(09.05
julia-pushkina [17]

Answer:

About 68% (is that an answer choice?)

Step-by-step explanation:

In a normal distribution (a bell curve), about 68 percent of the data is in the range between one standard deviation below the mean to one standard deviation above.  If your mean is 27, and the standard deviation is 3, then one deviation below to one above would be 27 - 3  to 27 + 3, or 24 - 30.

4 0
3 years ago
Need this very badly ​
Fofino [41]
Can u show us how the location looks please?
7 0
3 years ago
Describe two ways in which you can solve, -1/2(5x-9)=17
MakcuM [25]

Answer:

One way is to:

First, multiply 2 by the term inside the parenthesis.

Second, add eleven on both sides.

Third, divide using 4x on both sides.

This will give you your first method.

Now try to get the second on your own.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the domain for the function sqrt(x+2)-2x
    7·1 answer
  • An architect plans to buy 8 stones spheres and 4 stone cylinders. For the same amount, she can buy 3 stone spheres and 7 stone c
    12·2 answers
  • ??? Please help ?????
    12·1 answer
  • A line passes through the point (-2,7) and. Has a slope of -4. What is the value of a if the point (a, -2) is also on the line?
    11·2 answers
  • The track coach tells Dave that he still has 80% of his workout left. Dave has run 4 laps so far.
    12·1 answer
  • Solve the equation <br> a-5/3=5a/6+a-26/9
    13·1 answer
  • 20 points! Draw a line of best fit on the graph.
    10·1 answer
  • PLZ i want the answer
    7·1 answer
  • how many bricks each of dimension 10 cm 5 cm 4 cm will be required to construct a Wall of dimension ATM 2m 20 CM having a gate p
    7·1 answer
  • Place 3 numbers between 12 and 60 to make a sequence of 5 numbers with a common difference
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!