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
oksian1 [2.3K]
3 years ago
8

A rancher has 800 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectan

gular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms
Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0

Let x be the shorter side, and y be the longer side

 

There would be 4 fences along the shorter side, and 2 fences along the longer side

4x + 2y = 800

Rewrite in terms of y:

y = 400 − 2x

 

The area of the rectangular field is

A = x*y

Replace Y with the equation above:

  A = x(400 − 2x)

  A = − 2x^2 + 400x

 

The area is a parabola that opens downward, the maximum area would occur at the parabola vertex.

At the vertex

x = −b/2a

  = −400/[2(−2)]

  = 100

 

y = 400 −2x

y = 400 -2(100)

y = 400-200

y = 200

 

The dimension of the rectangular field that maximize the enclosed area is 100 ft x 200 ft.

You might be interested in
Which is a perfect square<br> 61<br> 62<br> 63<br> 64
leva [86]

Answer:

64 is the perfect square

Step-by-step explanation:

its the perfect square because the square root is 8 and 8 is a whole number therefore 64 is the perfect square here.

plz vote me brainliest and give me a thanks

3 0
3 years ago
Fourteen less than the product of ten and a number is the sum of twice a number and ten.
iren2701 [21]

Answer:

in what time will 24000 amount to rs.30000 at 10% p.a?

4 0
2 years ago
If the measure of angle 3 is 80 degrees and the measurer of angle 6 is (2x)
spin [16.1K]
Answer:
X = 40
Explanation: (2x) = 80
80/2 = 40
X = 40 degrees
5 0
2 years ago
Question 9 of 10 <br> Solve -4x+ 2 26. <br> 0 A. x-6 <br> 0 B. )( 6 0 C. -6 0 D. )( 6
Drupady [299]

Answer:

The answer is (C.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Simplify 4x^2 / 3 X 6/ 8x
Leokris [45]

Answer:

x

Step-by-step explanation:

The answer to

\frac{4 {x}^{2} }{3}  \times  \frac{6}{8x}

= x

3 0
3 years ago
Read 2 more answers
Other questions:
  • 10×3/5 A. 12 B. 5 C. 6*** D.8 1/5×8? A. 5/8 B. 1 2/5 C. 1 3/5*** D. 1 4/5 Two thirds of jacks sports cards are baseball cards. i
    14·1 answer
  • Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. explain.
    8·1 answer
  • How to solve duoble angle formulas with an angle not on the unit circle
    6·1 answer
  • Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 33 times as old as Daniel.
    6·2 answers
  • What is the expanded form for 309,01
    10·1 answer
  • EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
    9·1 answer
  • Please help me on numbers 5-7 thanks
    6·1 answer
  • WHICH ONE OF THE FOLLOWING IS A GEOMETRIC SEQUENCE?
    9·1 answer
  • The vertex form of the equation of a parabola is X=(y-3)^2+41. What is the standard form of the equation?
    5·1 answer
  • Two ships leave a harbor together traveling
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!