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
mafiozo [28]
3 years ago
7

Mr. Sanchez has 16 feet of fencing to put around a rectangular garden. He wants the garden to have the greatest possible area. H

ow long should the sides of the garden be?
Mathematics
2 answers:
Feliz [49]3 years ago
7 0

Answer:

The sides  of the garden be 4 feet to have the greatest possible area.

Step-by-step explanation:

Given :   Mr. Sanchez has 16 feet of fencing to put around a rectangular garden. He wants the garden to have the greatest possible area.

We have to determine the sides of the garden so that the garden to have the greatest possible area.

Let Length of garden be x feet

and width of garden be y feet.

Then given perimeter = 16 feets.

Perimeter of rectangular garden = 2(length + width)

⇒ 2x + 2y = 16

⇒ x + y = 8

⇒  y = 8 - x  

Thus, area of rectangle is = Length  × width

A = x × y

A = x (8-x) = 8x-x^2

For area to be maximum applying derivative test

Differentiate A=8x-x^2 with respect to x, we have,

\frac{dA}{dx}=8-2x

Put \frac{dA}{dx}=0 , we have,

8-2x=0 \Rightarrow 8=2x \Rightarrow x=4

Thus, y = 8- x = 8 - 4 = 4

Thus, The sides  of the garden be 4 feet to have the greatest possible area.

kolezko [41]3 years ago
3 0
To create a garden w/ the largest area you want to make a garden that is a square or as close as possible 16 is a perfect square # so the sides should be 4 ft each
You might be interested in
No links please
Alja [10]
Answer: A 40 feet

Explanation:
If a building is 380 feet tall and the elevator has to descend 420 feet to get to the underground parking garage. So 420 - 380 to remove the height of the building from the equation. This would give us 40 feet underground left until the elevator reaches its desired destination.
8 0
2 years ago
Help!! plz help to solve!
artcher [175]
You can solve all of these by using the distance formula. I have shared it below. 


4 0
3 years ago
Help! What’s the y intercept of the linear equation 7+y=4.3x
Rasek [7]

Answer:

(0,-7)

Step-by-step explanation:

the y-intercept is found when the x-value is equal to 0. In this case, we are finding a coordinate pair. First, plug in 0 for x.

7+y=4.3(0)

simplify

7+y=0

subtract 7 from both sides

y=-7

Make it an ordered pair,

(0,-7)

8 0
2 years ago
Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?
lana [24]

<u>2.2</u>

Question:

Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?

Solution given:

17 chicken wings = $37.40

1chicken wings =$37.40/17*1=$2.2

<u>2</u><u>.</u><u>2</u>

7 0
2 years ago
An entrepreneur is having a design group produce at least eight samples of a new kind of fastener that he wants to market. It co
DerKrebs [107]

Answer:

b

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Write and solve a proportion to<br> answer the question.<br> What number is 120% of 80?
    5·1 answer
  • Do all the dimes or all the nickels have a greater total value
    5·1 answer
  • Find the volume. (Will mark branliest)
    14·1 answer
  • HELP!!! <br>3/r = 81<br>Please explain​
    10·1 answer
  • Which is the graph of the function f(x)=x^3-x^2-17x-15?
    13·2 answers
  • Find the volume of the cylinder and cone, then add them together.
    11·1 answer
  • PLEASE HELP!!! I WILL RATE YOU BRAINLIEST
    7·1 answer
  • What is 2 - (7/8- 3/4)?
    5·1 answer
  • Help with this question (100 points)
    13·1 answer
  • Find the area of the following Triangle.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!