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
Stolb23 [73]
1 year ago
7

a famer has 120 feet of fencing with whcih to enclose two adjacent rectangular pens as shown. what dimeensions should be used th

at the enclosed area will be a maximum? what will the area be?
Mathematics
1 answer:
Nat2105 [25]1 year ago
6 0

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

∴ 4x+3h = 120

now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

brainly.com/question/27531272

#SPJ4

You might be interested in
Toni wants to buy a shirt . The original price is $85 but it is on sale for 30% off Toni will pay15% sales tax how much will the
mixer [17]
 30%÷100% = 0.30; $85×0.30= $25.50; 85 - 25.50= $59.50.
 15%÷100% = 0.15; $59.5 ×0.15 =8.92; 59.50 - 8.92= $50.58
$50.58
6 0
3 years ago
Which of the following is not a factor of the binomial<br> A)x+4<br> B) x+1<br> C)x-4<br> D) x-1
OlgaM077 [116]
The anwser is c. hope it helps
5 0
3 years ago
The American Heart Association recommends that you consume less
Ann [662]
1500 - 400 = how much sodium u can consume for the rest of the day
6 0
3 years ago
Nora and Owen do business as Profit &amp; Property, a real estate investment partnership. In acting on the firm’s behalf in a de
il63 [147K]

Answer:

breach of the duty of loyalty

Step-by-step explanation:

The deal with Quaint Village Mall was not for her personally but for her firm so for her to make a secret profit and take advantage of such an opportunity is a breach of the duty of loyalty which she is liable of.

If an employee makes a decision for the corporation that profits both him and the corporation. The duty of loyalty is breached when the employee, his or her interest in front of that of the corporation.

4 0
3 years ago
Find a number which when divided by 3 gives the quotient 20 and remainder
Westkost [7]

Solution:

<em>the</em><em> </em><em>answer</em><em> </em><em>please</em><em> </em><em>mark</em><em> </em><em>as</em><em> </em><em>brainly ness</em><em> </em>

<em>your</em><em> </em><em>welcome</em>

8 0
2 years ago
Other questions:
  • What is the fraction 117/30 simplified as a mixed fraction
    9·2 answers
  • Find the area of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.
    14·2 answers
  • George invited 65 students in his school to volunteer at a charity race. 39 of the students signed up to volunteer. What percent
    8·1 answer
  • A restaurant is conducting a holiday special in which all meals are discounted 24%. If Billy had a meal from the restaurant for
    5·1 answer
  • Solve for x<br><br><br>answers. x=6<br> x=0. x=7​
    15·2 answers
  • Which of the following shows the solution to m+5 &gt;-1
    9·2 answers
  • In the cube shown below, the distance between vertices 2 and 6 is 15 cm.
    5·2 answers
  • Help me please I don’t get This
    11·1 answer
  • WILL GIVE BRAINLIEST. please help
    13·1 answer
  • HELP I NEED HELP ASAP
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!