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
Nadusha1986 [10]
3 years ago
6

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric

fence. With 2100 m of wire at your​ disposal, what is the largest area you can​ enclose, and what are its​ dimensions?
Mathematics
1 answer:
larisa86 [58]3 years ago
5 0

Answer:

525 x 1,050

A = 551,250 m²

Step-by-step explanation:

Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.

The length of  the three sides is given by:

2S+L=2,100\\ L=2100-2S

The area of the rectangular plot is given by:

A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2

The value of 'S' for which the area's derivate is zero, yields the maximum total area:

\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525

Solving for 'L':

L=2100-(2*525)\\L=1,050

The largest area enclosed is given by dimension of 525 m x 1,050 and is:

A = 525*1,025\\A=551,250\ m^2

You might be interested in
Please please help i will mark u brill <br> please fast i need it right know !!!!!
julsineya [31]
Yess ( 8(12)+54 : 150 )
6 0
3 years ago
Read 2 more answers
15n + 24 - 4(n - 3) + 6 - 2n = 105
elena55 [62]

Just trying to win the CONTEST BUT GOOOOD LUCK

7 0
3 years ago
Read 2 more answers
In the Sahara fester one day it was 136 F degrees in the Goni desert a temperature of 50 degrees f Was recorded what is the diff
allochka39001 [22]
86 degrees Fahrenheit
3 0
3 years ago
Please help with my math work !<br> due tomorrow morning
Y_Kistochka [10]

Answer:

y=2x+6

Hope This Helps! :)

3 0
2 years ago
The total age of diana, carmen , and andrew is 45. diana is 21,and andrew is twice as old as carmen. how old is andrew
MissTica
Diana's age=21 years
Carmen's age=x years
Andrew's age=2x years
21+x+2x=45
21+3x=45
3x=45-21
3x=24
x=24/3
x=8
2x8=16
Carmen is 8 years old and Andrew is 16 years old. Hoped that helps:)
8 0
3 years ago
Other questions:
  • 70 students at a school were asked to complete a survey about the location of their next field trip. 28 students chose the zoo a
    5·1 answer
  • What is the domain of f(x) = log2(x + 3) + 2?
    5·2 answers
  • Will give BRAINEST
    10·2 answers
  • You are trying to find the distance from Saint Augustine to Jacksonville. What would be the most appropriate unit of measure to
    15·1 answer
  • Ms. Sharma is a house painter whose salary is 15,840 dollars for the season, which has 90 work days. She takes a day off without
    6·1 answer
  • Please help me the venn diagram is wrong too im confused on how to do this :(((
    14·1 answer
  • WILL MARK BRAINLIEST HELP ASAP ASAP<br> Answer choices are <br> 9<br> 10<br> 11<br> 12<br> 13
    12·2 answers
  • A group of eight people are attending the movies together.
    5·1 answer
  • This equation shows how the money Morristown Middle School spends on workbooks is related to the total number of workbooks they
    15·2 answers
  • which of the following number sentences illustrates the associative property of multiplication (3×8)×6=3×(8×6). 2×(1×9)=(2×1)×(2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!