you need to fence off two rectangular lots. the larger of two lots is 45 feet long and 22 feet wide, while the smaller lot is 24 feet long and 16 feet wide. How much fencing in feet will you need to fully enclose both lots?

Answers

Answer 1
Answer:  214 feet of fencing

==============================================================

Explanation:

I'll assume that both lots are not adjacent. So we have two separate rectangles that aren't touching.

We use the rectangle perimeter formula

P = 2(L+W)

where L is the length and W is the width. For the first rectangle, we have L = 45 and W = 22, so

P = 2(L+W)

P = 2(45+22)

P = 2(67)

P = 134

You need 134 feet of fencing for the 45 ft by 22 ft rectangle.

Repeat for the other rectangle

P = 2(L+W)

P = 2(24+16)

P = 2(40)

P = 80

You need 80 feet of fencing for the 24 ft by 16 ft rectangular lot.

Overall, you need 134+80 = 214 feet of fencing

------------------------

Extra info (optional section):

Now if the two lots are touching in some way, then you won't need as much fencing. This is because the two lots will share the bit of fencing between them. This might apply to a portion of one side, or the entire side, of either rectangle. It depends how the lots are laid out.

The assumption that the lots aren't adjacent considers the worst case scenario, aka the situation where you'll need the most fencing (hence the largest cost). This will allow you to prepare for the worst and not be caught off guard. All of this assumes there is no waste, and that there are no gaps or overlaps. If there is expected to be some inefficiency of waste (which is fairly realistic in my opinion) then it's probably a good idea to slightly overshoot this target.


Related Questions

factorise x²-49
please solve this answer​

Answers

Answer:

(x+7)(x-7)

Step-by-step explanation:

x²-49

=x²-7²

=(x+7)(x-7)

Answer:

(x+7) (x-7)

Step-by-step explanation:

 [tex]\sqrt x^{2}[/tex]-49

[tex]\sqrt x^{2}[/tex] - [tex]\sqrt{49}[/tex] = (x+7) (x-7)

find the value

3
13
- 9
65

Answers

Answer:

pls correct your question

What is the length of the altitude of the equilateral triangle below?

Answers

Answer:

E.  12

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse

1 : √3 : 2

The short leg is 4√3.

The long leg is √3 times the short leg.

a = 4√3 * √3 = 4 * √9 = 4 * 3 = 12

Answer: E.  12

Find the quotient. Write your answer in scientific notation.
(4.2×10^2)÷(1.5×10^3)=

Answers

0.28

Hope this helps!

Geometry, please answer question ASAP

Answers

Answer:

D

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle, that is

perimeter = 20 + 13 + 21 = 54 → D

simplify the below equation
[tex]( {8x^{2} y^{3} )( \frac{3}{8}x {y}^{4} )[/tex]

Answers

Answer:

3x^3y^7.

Step-by-step explanation:

8 * x^2 * y^3 * 3/8 * x * y^4

= 8 * 3/8 * x^2 * x * y^3 * y^4

= 3x^3y^7.

Answer:

3x^3y^7

Step-by-step explanation:

( 8 x^2 y^3) *( 3/8 x y^4)

Multiply the coefficients

8 * 3/8 = 3

Multiply the x terms

x^2*x = x^3

Multiply the y terms

y^3 * y^4 = y^(3+4) = y^7

Put them back together

3x^3y^7

When the input is 1, what is the output of the function? That is, find the value of g(1).

Answers

Answer:

g(1) = 1

Step-by-step explanation:

In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).

The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).

True or False: A rational number can be expressed as the quotient a/b where b ≠ 0.

Answers

Answer:

true?

Step-by-step explanation:

A rational number can be expressed as the quetient a\b where b=0 is true

Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Submit Answer
Answer:
attempt 1 out of 2

Answers

Answer:

13.2

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 15^2 = 20^2

a^2 + 225 = 400

a^2 = 400 - 225

a^2 = 175

a = 13.22 or 13.2

Các câu nào trong các câu sau là mệnh đề? Nếu là mệnh đềhãy xác định tính đúng sai của chúng
a.“Hà Nội là thủđô của Việt Nam”
b. “5 6 3.4 7 12   ”
c. “Hôm nay trời đẹp quá“
d. “21 0x luôn có nghiệm”
e. “Phương trình 21 0x vô nghiệm”
. “7263là sốchính phương”
g. “447 2chia hết cho 5”
h. “210-1 chia hết cho 11

Answers

Answer:

higddthhgffhjkkkmjguyfddd

find the median and mean of the data set below :​

Answers

Median:15 1,11,14,15,31,37,47
Mean:22 (1+11+14+15+31+37+47)/7=22

Answer:

Median = 15

Mean = 22

Step-by-step explanation:

Median = first lets arrange the data type from smallest to biggest and select the middle number as it will be our median

1, 11, 14, 15, 31, 35, 47

the middle number is 15

so 15 will be our median

Mean = [tex]\frac{sum of all numbers }{total numbers\\}[/tex] sum of all numbers divided by the number of values in the set

[tex]\frac{1 + 11 + 14 + 15 + 31 + 35 + 47}{7}[/tex]

= [tex]\frac{154}{7}[/tex]

= 22

so our mean will be 22

Which equation describes the same line as y- 6 = -4(x + 1)?

O A. y-4x+7
O B. y - 4x4
O c. y - 4x + 2
O D. y=-4x+ 3​

Answers

Answer:

Option C is correct

Step-by-step explanation:

[tex]y−6=−4(x+1) \\ [/tex]

[tex]y−6=−4x−4 \times 1[/tex]

[tex] y−6=−4x−4 [/tex]

[tex]y=−4x−4+6 [/tex]

[tex]y=−4x+2[/tex]

Hope it is helpful....

option C is correct

Help please Algebra 1
Simplify 4y-6yx+y

Answers

I hope you will like my answer

Suatu jenis bakteri, setiap detik akan membelah diri menjadi dua, jika pada saat permulaan ada 5 bakteri, berapakah jumlah bakteri setelah 10 detik? (geometric series=deret geometri)?

Answers

Answer:

Vc. Tính giai cấp

Step-by-step explanation:

What is the median for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
6
7
10
12
12
13​

Answers

Answer:

11

Step-by-step explanation:

If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.

6, 7, 10, 12, 12, 13

Cross off all numbers until you get to the middle:

6, 7, 10, 12, 12, 13

Find the mean of the numbers in the middle:

10 + 12 = 22

22 / 2 = 11

The answer is 11

Hope this helped.

Answer:

11

Step-by-step explanation:

10+12=22

22÷2=11

median is equal to the middle number after being arranged in ascending order.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which ratio is not equivalent to the others?
A. 27:45
B. 1520
C. 9:15
D. 3 to 5

Answers

Answer:

B. 15:20

Step-by-step explanation:

The simplest of all ratios is 3 to 5 since they are prime numbers; therefore, all the ratios but 1 will equal to 3 to 5.

Ratio A:   27 and 45 have a common factor of 9 so when you do (27 ÷ 9) to (45 ÷ 9) you get 3:5.

Ratio B: 15 and 20 have a common factor of 5, so when you do (15 ÷ 5) to (20 ÷ 5), you get 3:4. 3:4 is not equivalent to 3:5.

Ratio C: 9 and 15 have a common factor of 3, so when you do (9 ÷ 3) to (15 ÷ 3), you get 3:5.

The only one that isn't equivalent to 3:5 is B.

Hope this explanation helps :)

Does anyone know how to do these. Its due in the morning. Pls help

Answers

Answer:

15)

Given equation:

y = 2/5x - 3

To plot the line first find two points:

1. x = 0 ⇒ y = -32. x = 5 ⇒ y = -1

Plot (0, -3) and (5, -1) and connect the points with a line. This will be the required line.

16)

Use Pythagorean to find the missing leg:

[tex]x = \sqrt{13^2 - 5^2} = \sqrt{144} = 12[/tex] units


1. Point B bisects AC. If AB = 2x + 10, and AC = 40, what is the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

B, bisects AB. So, AB = BC

AC = AB  +BC

     = AB + AB

AC = 2AB

[tex]\dfrac{1}{2}AC = AB\\\\AB = \dfrac{1}{2}AC\\\\2x + 10 =\dfrac{1}{2}*40\\\\2x + 10 = 20[/tex]

Subtract 10 from both sides,

2x = 20 - 10

2x = 10

Divide both sides by 2

x = 10/2

x = 5

can someone please help me

Answers

Answer:

#7 -94% = -0.94-.925 = -0.925-8/9 = - 0.888-9/10 = - 0.9

Ascending order:

- 0.94 < -0.925 < -0.9 < -0.888 or-94% < -0.925 < -9/10 < - 8/9#8√170 ≈ 13.03813.5 64/5 = 12.813 7/8 ≈ 13.875

Decreasing order:

13.875 > 13.5 > 13.038 > 12.8 or13 7/8 > 13.5 > √170 > 64/5

Find x and y in the figure​

Answers

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

help w #5 !! will mark brainlist

Answers

The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.

To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.

What is the volume?
9 ft
4 ft
2 ft
HELPPPP

Answers

Answer:

72?

Step-by-step explanation:

V=whl=4 x 2 x9=72

Answer:

72 cubic feet

Step-by-step explanation:

*this formula doesn’t work for all shapes*

Volume = length x width x height

Volume = 4 x 2 x 9

Volume = 72 cubic feet

Evaluate the function.
f(x) = -x² + 6
Find f(-3)

Answers

Answer:

f(- 3) = - 3

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x) , that is

f(- 3) = - (- 3)² + 6 = - 9 + 6 = - 3

Answer:

-3

Step-by-step explanation:

Have x= -3.

f(-3) = -(-3)² + 6

       = -3

What is the axis of symmetry for y = 3x^2 + x - 2

Answers

Axis of Symmetry:
x= -1/6

let the cp be rs x. if a man gains 20% profit by selling an article for rs 816. find cp​

Answers

Answer:

Let, the c.p be x.

Given,

profit % = 20%

S.P = rs 816

c.p = x

We know,

profit = p% of c.p

         = [tex]\frac{20}{100}[/tex] * x

         = [tex]\frac{x}{5}[/tex]

now,

   C.p = profit + s.p.

        x = [tex]\frac{x}{5}[/tex] + 816

        x = [tex]\frac{x+ 4080}{5}[/tex]

       5x = x + 4080

       5x-x = 4080

       4x = 4080

         x = [tex]\frac{4080}{4}[/tex]

         x = Rs 1080

Hence, the c.p is Rs. 1080

Can an infinite arithmetic series ever converge?

Answers

An arithmetic series never converges: as \(n\) tends to infinity, the series will always tend to positive or negative infinity. Some geometric series converge (have a limit) and some diverge (as \(n\) tends to infinity, the series does not tend to any limit or it tends to infinity).

find the square root and of 1+i√3​

Answers

find the square root and of 1+i√3​  

comeplete using distributive property (x+2x+3x)(x+4)​

Answers

Answer:

6x^2 + 24x

Step-by-step explanation:

A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
The area of the cross section that is perpendicular to the base and created by a plane that slices the prism through the diagonals of the base and its opposite face is
square inches.

Answers

Answer:

Step-by-step explanation:

The cross-section is an 8”×13” rectangle.

Area = 104 square inches

what is the answer to 7b-7-8b= -15

Answers

Answer:

b=8

Step-by-step explanation:

7b-7-8b=-15

Combine like terms

-b-7=-15

Add 7 on both sides

-b=-15+7

-b=-8

Divide by -1

b = 8

Answer: b = 8

Step-by-step explanation:

Given

7b - 7 - 8b = -15

Combine like terms

-b - 7 = -15

Add 7 on both sides

-b - 7 + 7 = -15 + 7

-b = -8

Divide -1 on both sides

-b / -1 = -8 / -1

b = 8

Hope this helps!! :)

Please let me know if you have any questions

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