A carpenter is building a rectangular shed with a fixed perimeter of 54 ft. What are the dimensions of the largest shed that can be built? What is its area?

Answers

Answer 1

Answer:

the Largest shed dimension is 13.5 ft by 13.5 ft

Largest Area is 182.25 ft²

Step-by-step explanation:

Given that;

Perimeter = 54 ft

P = 2( L + B ) = 54ft

L + B = 54/2

L + B = 27 ft

B = 27 - L ------------Let this be equation 1

Area A = L × B

from equ 1, B = 27 - L

Area A = L × ( 27 - L)

A = 27L - L²

for Maxima or Minima

dA/dL = 0

27 - 2L = 0

27 = 2L

L = 13.5 ft

Now, d²A/dL² = -2 < 0

That is, area is maximum at L = 13.5 using second derivative test

B = 27 - L

we substitute vale of L

B = 27 - 13.5 = 13.5 ft

Therefore the Largest shed dimension = 13.5 ft by 13.5 ft

Largest Area = 13.5 × 13.5 = 182.25 ft²


Related Questions

goes through the points (6,2) and (5, 4)

Answers

Sorry What do we need to look for here?

Jennifer deposits $80 into an investment account with a rate of 4%, compounded annually. The equation y = 80(1 + 0.04)x can be used to determine the number of years, x, it takes for Jennifer’s balance to reach a certain amount of money, y. Jennifer graphs the relationship between time and money. What is the y-intercept of Jennifer’s graph?

(0, 80)
(0, 0)
(80, 80)
(80, 0)

Answers

Answer:the answer is A: (0,80)

Step-by-step explanation:

Sayid wants to buy 3 sweaters for $37 each and 2 scarves for $11 each.

How much will Sayid
spend on these pieces of
clothing?

Answers

the sweatshirts will be $12.33 and the scarves will be $22 so the answer it will be $34.33

-6 - x = -4 What's the value of x? Please show your work. ​

Answers

Answer:

x = -2

Step-by-step explanation:

-6-x = -4

-6+4=x

-2 = x

shhssuuaBhsyegzvsysbNhsuehsgzgeysbs

Answer:

- 2

Step-by-step explanation:

so in order to solve this equation we are going to have to add x to each side of the equal sign to make the x a positive:

-6 - x = -4

    + x     + x

making the equation look like this:

-6 = -4 + x

Now we are going to add 4 to each side of the equation to segregate our x:

-6 = -4 + x

+4   + 4

Making the equation look like this:

-2 = x

Now to check our work by placing -2 where x is in the equation -6 - x = -4:

-6 - x = -4 now -6 - (-2) = -4

Since the negative number is next to a subtraction sign -2 becomes positive 2

-6 + (2) = -4

We add them together and....:

-4 = -4

help me pls i need to do it pls

Answers

Answer: Your answer would be A. A full on explanation is the denominators both have to be equal so 24 is right then you factor and multiply the numerator by how ,uch it takes the denominator to get to 24. So 2 20/24 + 3/24 is 2 23/24. I hope this helps you. Your answer is A = 2 23/24

Step-by-step explanation:

Help please I’m begging you

Answers

Answer:

subtract to eliminate y

Answer:

B

Step-by-step explanation:

add to eliminate y

Ben wants to buy a new collar for each of his 5 dogs. The collars come in a choice of 9 different colors. Step 1 of 2 : How many selections of collars for the 5 dogs are possible if repetitions of colors are allowed

Answers

Answer:

59049 ways

Step-by-step explanation:

Given

[tex]Colors = 9[/tex]

[tex]Dogs = 5[/tex]

Required

Determine number of selection (repetition is allowed)

The number of collars is not given.

So, we'll assume that there are enough collars to go round.

If no repetition is allowed, each of the 5 dogs have 9 colours to select from.

i.e.

[tex]Dog\ 1 = 9[/tex]

[tex]Dog\ 2 = 9[/tex]

[tex]Dog\ 3 = 9[/tex]

[tex]Dog\ 4 = 9[/tex]

[tex]Dog\ 5 = 9[/tex]

So, the number of selection is:

[tex]Selection = 9 * 9 * 9 * 9 * 9[/tex]

[tex]Selection = 59049[/tex]

2 cities are 18 inches apart on a map and 30 miles apart in real life whats the scale factor used on the map.

Answers

Answer:

you're scale is 1.6666667

Step-by-step explanation:

because if you do 30 decided by 18 it gives u 1.6666667

Which of the following did you include in your answer? Yes, the graph has been dilated. Using the standard form of the equation, substitute in the values: h = –2, k = 3, x = –1, and y = 0. Solve the equation to get a = –3. Graphically, the parent function follows the pattern of right 1, up 1. Moving 1 unit to the right from the vertex, you can move down 3 units to get to the point (–1, 0), so it has been horizontally compressed.

Answers

Answer: just to press anyone it does not mark you for it lol

Step-by-step explanation:

Please help me!!!!!!!!!!!!!!!

Answers

Answer:0.03

Step-by-step explanation:

Answer:

Answer: 0.03

Step-by-step explanation:

I hope it helps you ❤❤❤

the area of the figure

Answers

The answer is 28.86 cm^2

You have to subtract the area of the missing triangular piece (4cm) and the quarter of a circle (~3.14cm) from the square (36cm).

Hope this helps!!

how many solutions does 4x8y=-8 x=-2y+1 have

Answers

Answer:

It has no solution

Step-by-step explanation:

I tried to figure it out but I got no solution

Joe drove 12 miles in the morning and 165 miles
in the afternoon. How many miles total did he drive?
28
3
miles
28
6
miles
28
miles
28
miles

Answers

Answer:

Step-by-step explanation:

Speed: distance divied by time

Distance: speed times time

Time: distance divied by speed

Olivia and Cody both have spinners with the color purple. Olivia determines that the probability of spinning purple on her spinner is 4 out of 12. Cody determines that the probability of spinning purple on his spinner is 3 out of 10. Which of the following statements is true?​

Answers

Olivia will have a 25% chance Cody will have a 30% chance

So the answer would be B

The true statements:

A) Olivia's spinner has the highest probability of spinning purple.

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Olivia and Cody both have spinners with the color purple.

Olivia determines that the probability of spinning purple on her spinner is 4 out of 12.

That means, 4/12 = 0.33

Cody determines that the probability of spinning purple on his spinner is 3 out of 10.

That means, 4/10 = 0.3

0.33 > 0.3

Therefore, Olivia's spinner has the highest probability of spinning purple.

To learn more about the probability;

brainly.com/question/11234923

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Assume the random variable x is normally distributed with mean u = 82 and standard deviation o =5. Find the indicated probability

Answers


P(
x86)
P(x < 86) =
(Round to four decimal places as needed

helpppplzzzzzzzzz:)))))))))

Answers

There is nothing there answer

Answer:

The answer is 14 minutes

Step-by-step explanation:

Subtract your total and divide what you have left. $20 - $18.04 = $1.96

You spent a total of $1.96

Divide that by 0.14 how much per minute and you get 14 minutes.

List the next three terms in the following sequence:

1, 2, 4, 8, 16, 32,...
a.
48, 80, 128
b.
64, 96, 160
c.
64, 128, 256
d.
46, 92, 184

Answers

Answer:

C.

Step-by-step explanation:

its multiplying each number by 2  

Select all the correct answers. What are the solutions to this equation? 2x2 = -10x + 12​

Answers

Answer:

x=1 and x=-6

Step-by-step explanation:

What is 5-2(4a+1)+3a=13

Answers

Step-by-step explanation:

5-2(4a+1)+3a=13

5(4a+1)-2(4a+1)+3a=13

20a+5-8a-2+3a=13

20a-8a+3a+5-2=13

15a-3=13

15a=13+3

a=16

15

hope it helps.

help pls ASAP brain list to first and correct​

Answers

Answer:

x = -3/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

2x + 1 = -2

Step 2: Solve for x

Subtract 1 on both sides:                    2x = -3Divide 2 on both sides:                       x = -3/2
answer:

it’s -1.5

explanation:

2x+1=-2
-1 -1
2x = -3
-3/2= -1.5

Level 3: A plumber charges $50 for a service call plus $75 per hour of service. What will be the total cost for 8 hours of work? *
$650
$600
$475
$400

Answers

Answer:

$650

Step-by-step explanation:

$50 + $75(8)

= $50+ $600

= $650

can someone please help me with this by showing work? this is very hard for me so i asked here even though my questions never get responses sometimes

Answers

Answer is 4X^3 Y^5
Steps
4^2 = 16
X^6
Y^10

Answer and Step-by-step explanation:

The square root of 16 times x to the power of 6 times y to the power of 10 is the same as:

[tex]\sqrt{16x^{6} y^{10} } = \sqrt{16} * \sqrt{x^{6} } * \sqrt{y^{10} }[/tex]

The square root of 16 is 4.

The square root of x to the power of 6 is x to the power of 3.

The square root of y to the power of 10 is x to the power of 5.

So, the answer is:

[tex]4x^{3} y^{5}[/tex]

Hope this helps!

#teamtrees #WAP (Water And Plant)

Solve the following formula for the specified variable. B=1/4m(r+k) for r

Answers

Answer: r=4b/m-k

Step-by-step explanation: I think

The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given the expression,

B=1/4m(r+k)

4B = m(r + k)

r + k = 4B/m

r = 4(B/m) - k

Hence "The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k".

For more about the equation,

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Jori is 2 years older than Sage but 4 years younger than Victoria. Sage is 3 years less than a score. Sage is 17. In how many years time will jori be 30 yrs old?
please show explanation​

Answers

Answer:

10

Step-by-step explanation:

if sage is 17 and jori is 2 years older he will be 19 so in 10 years he will be 30

10 the answer to your question

Vocabulary: How are integers and their opposites related? Select all that are true.

Answers

They are either both positive or negative
Example:|-2| |2|

Please help me im giving a homeless Camel CPR so im kinda pre occupied

Answers

Answer: camels dont have hearts so dont lie!!!!!

Step-by-step explanation: but i will help u with ur homework if say please caus im the goodest at school stuff

On a winter morning, the temperature in pittsburgh is -13

Answers

that’s nice to know i guess? i don’t know where you’re trying to go with this-

find each sum or difference for 381 1/10 -214 43/100

Answers

Answer:

The circled part is the answer.

Answer:

6789475

Step-by-step explanation:

what is the rule for the reflection

Answers

Answer:

(x,y) ---> (-x,y)  2nd choice

Step-by-step explanation:

reflection: If points reflect across the y-axis, their y-coordinates remain unchanged but their x-coordinates change into their opposites.

The original figure ABCD is reflected on y-axis and we got the image A'B'C'D'. Therefore, option B is the correct answer.

What is the reflection on y-axis?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

In the given graph, ABCD is the original figure and A'B'C'D' is the image.

Here, A(-2, 1)→A'(2, 1)

B(-4, 1)→B'(4, 1)

C(-4, 5)→C'(4, 5)

D(-2, 4)→D'(2, 4)

Here, the rule is (x, y)→(-x, y)

Therefore, option B is the correct answer.

To learn more about the reflection over y-axis visit:

https://brainly.com/question/15175017.

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It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?

Answers

Answer:

5%

Step-by-step explanation:

33/650=0.0507

0.0507*100=5.07

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