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
Allisa [31]
1 year ago
10

A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

s not need any fencing.
garden bordered by a river

What dimensions would guarantee that the garden has the greatest possible area?

shorter side: _____ft (feet)

longer side: ____ft (feet)

greatest possible area: ___ft2 (square-feet)
Mathematics
1 answer:
Bond [772]1 year ago
7 0

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

You might be interested in
Suzy needs to make a profit of at least $10 for her part of the bake sale. What is the least amount she can sell each of her coo
defon

Answer:

B.$0.43

Step-by-step explanation:

EASY

3 0
2 years ago
So the people who are good at math Im going to ask 17 questions that invlove math so if u want 20 points in each question then g
PilotLPTM [1.2K]

Answer: ok will do

Step by step explanation

3 0
2 years ago
What are the solutions to the following equation?
gregori [183]

Answer: -8.5

Step-by-step explanation:

I got it right on edg

3 0
3 years ago
Read 2 more answers
Help please it for a really important test
Arada [10]

Answer:

cant tell you the answer but i can tell you the person that messed up isn't that good at math

Step-by-step explanation:

4 0
2 years ago
Is it true or false that 16.371 rounded to the nearest whole number 16 feet per second
rusak2 [61]

Answer:

true

Step-by-step explanation:

To round off a number to its nearest whole number, look at the first number after the decimal point. If the number is equal or greater than 5, add 1 to the number before the decimal point. If it is  less than 5, add zero.

Because the first number after the decimal point is 3, which is less than 5, add zero to 16 . 16 + 0 = 16

If the number were 16.571, rounding off to the nearest whole number would give 17

4 0
3 years ago
Other questions:
  • Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are .
    13·1 answer
  • In the diagram below QT =7 which additional facts would guarantee that QRST is a parallelogram check all that apply
    6·2 answers
  • You talk to a friend who lives in a different state. She tells you that today it is 12° below zero where she lives. You tell her
    13·2 answers
  • 520 divided by 8 with remainder
    12·1 answer
  • (g + 12) ÷ h as a fraction plz i need help
    7·1 answer
  • Dr. Anderson found that 18 out of 30 children in the village tested positive for chicken pox. At this rate, how many would test
    9·1 answer
  • Lin runs 5 laps around a track in 6 minutes If Lin runs 21 laps at the same rate, how long does it take her
    13·1 answer
  • Which of the follow expressions are equivalent to (3^4)^-2 • (3^5)^3
    11·1 answer
  • Find the common factor of all the terms of the polynomial 16x2 - 14x. O A. 2x² O B. 44² O c. 2x O D. 4x ​
    8·1 answer
  • 1 1/5 · x/3 = 9/10<br> solve for x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!