Suppose you can buy garden fencing in lengths of 50 feet at the local hardware store. A. If you bought 100 feet of fencing and wish to enclose a rectangular garden in your backyard, what should be the dimensions of your garden in order to maximize area?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Let the length of the rectangular area be L and W be the width of the rectangular garden hence:

Perimeter = 2(L + W)

There is 100 feet of fencing available which represents the perimeter, therefore:

100 = 2(L + W)

L + W = 100/2

L + W = 50  

L = 50 - W

The area (A) = L × W

A = L × W

A = (50 - W) × W

A = 50W - W²

To get maximum area, we find the first derivative of the area and equate to zero

A' = 50 - 2W

50 - 2W = 0

2W = 50

W = 50/2

W = 25 feet

100 = 2(L + W)

50 = L + W

L = 50 - W = 50 - 25

L = 25 feet

To maximize area, the length and width should be 25 feet each


Related Questions

The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²

Answers

Answer:

Step-by-step explanation:

Lateral surface area of cube = 4a²

4a² = 400

   a² = 400÷4

  a² = 100

 a = √100 = √10*10

a = 10 cm

Total surface area = 6a²

                               = 6 * 10²

                               = 6* 100

                               = 600 cm²

Answer:

A

Step-by-step explanation:

I believe that I did this before.

A construction company orders tile flooring for the kitchen and three bathrooms of a new home. The kitchen floor measures 48 square feet. Two bathrooms have floors that each measure square feet. The third bathroom floor measures square feet. If the tile costs $2.39 per square foot, what's the least amount of money, to the nearest cent, the company spends on tile for all three bathrooms

Answers

Step-by-step explanation:

The question is incomplete. Let us assume the two bathrooms have floors that each measure 24 square feet and third bathroom floor measures 18 square feet.

For the two bathrooms, the total area will be 2*24 = 48 square feet

Since the third bathroom measures 18 square feet, the total square feet for the  3 bathrooms is equal to 48sq. ft + 18 sq.ft = 64sq. ft

If the tile costs $2.39 per square foot, then the amount that 64sq. ft tiles will cost is expressed as:

1 sq. ft = $2..39

64sq.f = $x

Cross multiply:

1*x = 2.39* 64

x = $152.96

Hence the amount that the company's spent on tiles for the three bathrooms will be 15296 cents.

Note that the dimensions of bathrooms were assumed. You can follow the same procedure for any dimension given.

Please graph the solution!​

Answers

First solve the problem!

Kyle purchased a plant that was 2 inches tall. The function h(t)=0.75t models the height of the plant t months after kyle purchased the plant. What is the meaning of h(11)

Answers

H(11) is the height multiplied by the time in months. This is taught in high school? I learned this is 7th

Use one or more transformations to transform the pre-image (purple) onto the image (white).
Translate Rotate
* Reflect

(You cant tpuch the grey lines )

Answers

Answer:  This is a translation of 12 units to the right.

translation written (x,y) -> (x+12,y+0)

Step-by-step explanation:

Pick a point on the pre-image, and count how many squares it has to move to end up at the corresponding point in the image.

Add that value to the coordinate x  for horizontal movement, here +12.

Add to the coordinate y for vertical movement. here 0.

Can you guys please help me I would appreciate it soooo much!!!!!!(Any question is ok I’m just confused and my teacher won’t help me:()

Answers

Answer:

a: scale factor is 2

b: from left to right: 3, 5

c: from top to bottom: 53, 82 I think

Step-by-step explanation:


Solve for x:
(x + 20)/2
= 3x

A: x = 10
B: x = 4
C: x = -14
D: x= -17

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

B) x=4

Step-by-step explanation:

Select the correct answer.
Which of the following is the inverse of ?

Answers

Answer:

the answer is letter C.

Answer:

your answer should be C.

Step-by-step explanation:

“x” means what in math equations? I’m not the best at math :/

Answers

Answer:

X is just the variable or missing edge, side, angle .etc that you are looking for

Step-by-step explanation:

the x is the missing variable.

What number is between 0.50 and 1.00

Answers

Answer:

0.75 is one answer.

Step-by-step explanation:

There are infinite numbers between those two numbers.

0.51, 0.52, 0.53. . . . so on.

Hope I helped :)

Please consider Brainliest :)

My teacher asked me to round 12,800 to the nearest thousand. I think that the answer is 13,000. Did I round correctly?

Answers

Answer: Yes!

Step-by-step explanation:

You go from the 2 to the 8 in 12800. And sense the 8 is higher you change the 2 to a 3. So it makes 13000.

anyone know thissss plzzz help rlly urgent I'll brainlist u !! plzzzzz ​

Answers

Coeff = 2
Const = 3



No of terms = 3
Corff = 7
Constant= 7

Answer:

For a:

Number of terms: 2Co-efficient of x: 2Constant: 3

For b:

Number of terms: 3Co-efficient: -4 and 7Constant: 5

I hope this helps!

any one know the answer plz i will give brainlyest

Answers

Answer:

Step-by-step explanation:

P=2*9+2*4

P=18+8

P=26 in.

Determine whether each statement about the design from the rug is true.
Ashti is designing a rug that uses shapes to tell a
story, similar to what rug weavers in her culture
have done for generations. She uses a computer
program to dilate the shapes for the design of the
rug. One of Ashti's designs is shown below with
labels for figures 1 and 2 and points X, Y,and Z.
Select True or False for each statement.
The center of dilation for figures 1 and 2 is point Y.

Answers

I am really not sure

Angles of XYZ and ABC are the blank because the triangle are blank and corresponding angles are blank.

Answers

Answer:

the answer is your teacher just wanted to draw a triangle and get paid for it.

The ratio of boys to girls in Miss Smith’s class is 3 to 5. There are 15 girls in the class. What is the total number of students in Miss Smith’s class?

Answers

Answer:

9 boys

Step-by-step explanation:

15/5

=3

3*3

=9

HELP ME PLS OMG -LS PLS PLS PLS ASAP ASAP PLS pls ASAP

Answers

I believe that the answer is false, true, true. Because you can’t solve this equation with the Pythagorean theorem, the solution s to the equation are x=4 and x=0, and finally if you wanted to you could subtract 6 from both sides first.

I need help with my homework , Please.

Answers

Answer:

Yes they are congruent.

Step-by-step explanation:

Congruent triangles are triangles that are the same size and shape. Since the triangle was split in half, both sides of the triangle are congruent to each other. If you fold the triangle, both will allign perfectly on top of one another.

What is the solution to the linear equation?

4b + 6 = 2 – b + 4

Answers

Answer:

b = 0

Step-by-step explanation:

Subtract 6 from both sides:

4b = 2 - b - 2

Subtract 2 from two, and get 0.

4b = -b

this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.

Let d(t) be the total number of .​

Answers

What is the question?

A pet store was selling 2 lizards for
$14.48. If they ended up selling 6
lizards, how much money would they
have earned?

Answers

Answer:

43.44

Step-by-step explanation:

If they are selling 2 lizards for 14.48 you would divide

14.48 by two which is 7.24.

This means the lizards are 7.24 each.

7.24x6 is 43.44

Answer:

$43.44

Step-by-step explanation:

If two lizards are worth $14.48, then you just need two multiply the cost by three.

complete the table and then graph the function .

Answers

Answer:

1,2,3,4,5

Step-by-step explanation:

find the value of the variable (3p-6)

Answers

Answer:1/3

Step-by-step explanation:

3p- -5=6

- and - becomes +

3p+5=6

transpose 5 to the other side

3p=6-5

because on transposing + becomes -

3p=1

p=1/3

because multiplication changes to addition on transposing

please mark me as brainly .

If a lizard can run 8 m across the water in 4 seconds, how
fast is he traveling?

Answers

Answer:

2 meters/second

Step-by-step explanation:

Equation for speed is:

s = d/t

Plug in the 8m for distance(d)

Plug in the 4 seconds for time(t)

So now you have s = 8m/4sec

This simplifies to s = 2 m/sec

HELP!!

•••••••••
WILL MARK AS BRAINLIEST •••••••••

Answers

should be 5 units long on the x axis and 3 units wide on the y axis
5 units in x
3 units for y

what is the constant of proportionality of p=5a

Answers

Answer:

=5x

Step-by-step explanation:

your question might have a different variable witch is the letter at the end

HELP HAVING BAD DAY Matt runs in the park every day at the average rate of c meters per minute.
During these 20 minutes, Matt covers 2400 meters. Use this information to write an equation.

Answers

answer is c=2400/20

Answer:

3c=2400/20

Step-by-step explanation:

A math test is made up of 7 problems each worth 10 points. There is no partial credit. Every test taker receives 30 points for taking the test. Enter a function to describe the test score determined by the number of correct answers. Then, graph the function.

Answers

Answer:

f(x)=10x+30

Step-by-step explanation                                                                                                x=0=30   x= 1=40  x= 2=50  x= 3=60   x=4=70  x= 5=80   x=6=90  x= 7=100

what is the slope of the line that passes through the point (10,3) (2,3) write your answer in simplest form

Answers

Answer:

0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

so m= (3-3)/(2-10)

m=0/-8

since 0 divided by anything is 0, the answer is 0

Are Transformations used to create Similar Figures EXPLAIN
Answers:
Sometimes, Never, Always,

Answers

Answer:

sometimes

Step-by-step explanation:

Similar figures can also be a different size, as long as they're the same shape. So both rigid transformations and dilations can create similar figures.

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