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
ANEK [815]
3 years ago
14

louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is

the largest area it can have ? explain your answer​
Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

You might be interested in
What is 37% of 293? Plz help me people this is for tomorrow
stira [4]
108.41 i pretty sure
5 0
3 years ago
Read 2 more answers
A cylinder of height 16 is inscribed in a sphere of radius 10. What is the radius of the cylinder?
alexdok [17]

Answer:

6

Step-by-step explanation:

10² = r² + 8²

100 = r² + 64

r² = 36

r = 6

7 0
3 years ago
A fruit vendor has 28 pears and 16 oranges.
Westkost [7]
<span>16:28 is the ratio But you have to get that in the simplest form so it would be 4:7</span>
3 0
3 years ago
Read 2 more answers
For which equation is x = 5 a solution? ​
Setler [38]

Answer:

32−4x=12

Step-by-step explanation:To be honest I dont think I have a good explanation but I do know my answer is acurate.

7 0
3 years ago
What is the approximate volume of a cone with a height of 9 ft and radius of 3 ft?
Harrizon [31]
Go on safari , && go to a circumference calculator , ion wanna explain rn .
7 0
3 years ago
Other questions:
  • What is a way to write 100,000 using exponents?
    6·2 answers
  • In triangle ABC, what is the measure of angle C
    8·1 answer
  • Please give me the answers to these questions. The questions are in the picture above. If you’re going to give me the answers sh
    13·1 answer
  • The product of a number and -8 gives eight times the sum of that number and 36. Find that number
    5·1 answer
  • james and elaine shares a box of sweet in the ratio 2:3 what fraction of sweets does james receive and how much elaine receive ​
    9·1 answer
  • Find the sum of (x+5), (-4x-2), and (2x-1)<br><br> Show your work please
    7·2 answers
  • Part b c and d please help
    8·1 answer
  • If 8n + 25 = 65, then n is <br> a. 5. <br> 648. <br> less than <br> of 45 is <br> b. 10. <br> C. 40.
    8·2 answers
  • What is the volume of a cone (in cubic inches) with a radius of 2 inches and a height of 3 inches?
    7·1 answer
  • Which table represents a function? <br> PLS PLS HELP FAST
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!