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
Aleks04 [339]
3 years ago
5

Justin wants to use 188ft of fencing to,fence off the greatest possible retangular area for a garden .What dimensions should he

use? What will be the area of the garden?
Mathematics
1 answer:
marshall27 [118]3 years ago
4 0
The greatest area that can be enclosed by a given amount of material will always be a square...

M=2L+2W  so we can say:

2L=M-2W

L=(M-2W)/2

area is:

A=LW  and using L from above:

A=W(M-2W)/2

A=(MW-2W^2)/2

dA/dW=(M-4W)/2 

d2A/dW2=-4

Since acceleration, d2A/dW2, is a negative constant, when velocity, dA/dW=0, it is at an absolute maximum for A(W).

dA/dW=0 only when M-4W=0, 4W=M, W=M/4

from earlier we found L=(M-2W)/2 and using W from above we get:

L=(M-M/2)/2

L=(2M-M)/4

L=M/4

So L=W=M/4, thus it is a square.

That's the proof, anyway...

188=2x+2y

94=x+y

y=94-x

A=xy and using y from above:

A=94x-x^2

dA/dx=94-2x, d2A/dx2=-2, as explained earlier, since acceleration is a negative constant, when dA/dx=0, it is at an absolute maximum for A(x).

dA/dx=0 only when 94-2x=0, 2x=94, x=47

and from earlier, y=94-x, so y=94-47

y=47

So the dimensions that produce the greatest area are:

47ft by 47ft

And thus the greatest area is:

47^2=2209 ft^2
You might be interested in
Please help figure out the range
jolli1 [7]

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

3 0
2 years ago
Ten years ago, Victor's age was half of the age he will be in 10 years. How old is he<br> now?
pogonyaev

Answer:

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which is a true statement about missed payments on a credit report?
Strike441 [17]

Answer:

no

Step-by-step explanation:

5 0
2 years ago
What is the value of x to the nearest tenth? <br> A)7.2 <br> B)4.8 <br> C)12.0<br> D)9.2
Anika [276]

Answer:

x = 7.2

Step-by-step explanation:

a² + b² = c²

x² + (19.2/2)² = (24/2)²

x² + 9.6² = 12²

Subtract 9.6² from both sides

x² = 12² - 9.6²

x² = 51.84

x = 7.2

6 0
2 years ago
Y_(1)=3(5x-9)-3,y_(2)=8(x-5)+15,y_(1)=y_(2)
sammy [17]

Answer:

y2=8x−5y1=8x−25

Step-by-step explanation:

6 0
1 year ago
Other questions:
  • 2(8+h) simplify using distrubtive property
    13·1 answer
  • What does y equal in y divided by -1 = -2?
    15·1 answer
  • Suppose 52% of students chose to study French their junior year, and that meant that there were 312 such students. How many stud
    15·1 answer
  • Planes A and B intersect.
    6·1 answer
  • Put in Standard form: y – 4 = 3(x+5)​
    13·2 answers
  • I need help please ten points for question number three !!!!!!!!.......!!!!!!.....
    8·2 answers
  • Line m passes through points (3, 15) and (10,9). Line n passes through points (2,9) and (9,3). Are line m and line n parallel pe
    10·1 answer
  • What is the GCF of 33 and 99?
    13·2 answers
  • NEED ANSWER ASAP -50 POINTS
    7·1 answer
  • What are the domain and range of the function f(x) = 3X + 5?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!