The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?

80 ft
100 ft
120 ft
140 ft

Answers

Answer 1

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

Answer 2

The length of the field is 120 feet.

Option C is the correct answer.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Let's start by using the given information to set up two equations:

Let x be the length of the field in feet.

Then, the width of the field is x - 20 feet.

The area of the field is given as 12,000 square feet:

x (x - 20) = 12,000

Expanding the left side of the equation, we get:

x² - 20x = 12,000

Bringing all the terms to one side, we get:

x² - 20x - 12,000 = 0

Now, we can solve this quadratic equation using factoring,

Completing the square, or the quadratic formula.

Here, we will use factoring:

x² - 20x - 12,000 = 0

(x - 120) (x + 100) = 0

The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.

Therefore,

The length of the field is 120 feet.

To check, we can substitute x = 120 into the equation for the width:

Width = x - 20 = 100 feet

Area = Length x Width

= 120 ft x 100 ft

= 12,000 sq ft

Thus,

The length of the field is 120 feet.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ7


Related Questions

Can someone help me pls

Answers

The distance from the lighthouse to the boat will be given by: tan θ=opposite/adjacent θ=angle of depression=23 opposite= height of the lighthouse adjacent=distance from the boat to the bottom of the light house hence tan 23=210/a thus solving for a we obtain: a=210/tan23 hence a=494.73 ftHOPE IT HELPS !!!

is 21:10 equivalent to 7:5

Answers

no it is not equal. its because you are multiplying one by 3 and the other by 2. you have to multiply them by the same number for them to be equal

Evaluate: 5*5/7
enter your answer as a proper fraction or mixed number

Answers

Answer:

3 4/7

Step-by-step explanation:

5 times 5/7 = 25/7

= 3 4/7

Answer:

3 4/7

Step-by-step explanation:

5/1 x 5/7 = 25/7 = 3 4/7


[tex]81 \frac{1}{2} \times 121 \frac{1}{2} [/tex]

Answers

81.5 x 121.5= 9,902.25

If x/5 = 4/15, what is the value of x? Please hurry and answer!!! In a test!!!!​

Answers

Answer:

x= [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

(✿◡‿◡) <-- she helped u on your test, the least you can do is give her brainliest

Will give brainliest

Answers

Answer:

The third option

Step-by-step explanation:

-1 - 3 = -4

1 - 3 = -2

3 - 3 = 0

5 - 3 = 2

can some help me pick the right answer for (9 + t) /12 = -3
45
-45
36
-36

Answers

Answer:

(9 + t)/12=-3

(9-45)/12

-36/12

= -3

answer = -45

please help this is due soon

Answers

the answer is 60degree..hope it helps u

I need help with this important question it's for a important grade​

Answers

Answer:

50

Step-by-step explanation:

29+42+61+?=180

add (29,42,61) that gives you 132

now 132-180=48

48 rounded to the nearest tenth is 50 sooo....

X= 50

Which figures appear to be congruent?

An image of 5 triangles on a 14 by 12 grid is shown.Triangle 1 has a base that is 4 units long. The upper vertex is 4 units above the midpoint of the base. To the right, triangle 2 has a horizontal leg that is 3.5 units long and a vertical leg that is 4 units long. A small square is positioned in the triangle at the lower left vertex. Below triangle 1, triangle 3 has a horizontal leg that is 3.5 units long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the upper right vertex. Triangle 4 is toward the center of the grid. It has a horizontal leg that is 1 unit long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the upper right vertex. Triangle 5 is to the lower right. It has a horizontal leg that is 6 units long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the lower left vertex.
A. 1, 2, and 3
B. 1 and 4
C. 1 and 5
D. 2 and 3

Answers

Answer:

D

Step-by-step explanation:

Somebody help me ASAP noww

Answers

Answer:

65

Step-by-step explanation:

That is a 180 split so 180-115=65

Someone help and plz make sure it’s right

Answers

Answer:

80 degree angle is the right answer

Please help I’m so confused thanks ????

Answers

Answer:

They Intersect at (-2,-8)

Step-by-step explanation:

This is a system of equation problem that I solved with graphing, if you need me to go into detail on how I did it or If you want me show how  to solve it how the question is asking, just let me know

What is the distance between (3,5) and (7,3)

Answers

Answer: (4, 2)

Explanation: 7 - 3 is 4 and 5 - 3 is 2

en una encuesta a 200niños sobre el programa de T.V. que más les gusta ver ,se encontró que a 30 niños ven dibujos animados 45 niños miran películas animadas solamente 55niños miran programas sobre animales 38 niños miran programas sobre animales y dibujos animados 32 niños miran los tres tipos de programas encuentra el porcentaje de cada grupo​

Answers

Answer:

15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.

Step-by-step explanation:

Dado que en una encuesta a 200 niños sobre el programa de TV que más les gusta ver se encontró que 30 niños ven dibujos animados, 45 niños miran películas animadas, 55 niños miran programas sobre animales, 38 niños miran programas sobre animales y dibujos animados y 32 niños miran los tres tipos de programas, para determinar el porcentaje de cada grupo​ se deben realizar los siguientes cálculos:

30/200 = 15/100 = 15%

45/200 = 22.5/100 = 22.5%

55/200 = 27.5/100 = 27.5%

38/200 = 19/100 = 19%

32/200 = 16/100 = 16%

Así, 15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.

Help help help help help help help

Answers

Answer:

35/14

Step-by-step explanation:

Volume = 4 * h * 7 / 2 = 14h

35/14 = h

3) In Carter's math class, 20\% of students earned an A on a test. If there were 30 student in the class, how many did not get an A.

Answers

Answer:

24 students did NOT get an A

Step-by-step explanation:

30x.20=6

30-6=24

2 people working at the same rate will take 9 hours to paint a room.
a) Assuming that they all work at this rate, how long will it
take 3 people to paint the room?
hours
(2)
b) In fact, the third person works at a faster rate.
How does this affect the time to paint the room?
Will it be
A faster?
B slower?
or

Answers

Answer:

a)6 hrs

b)faster

Step-by-step explanation:

a) 9*2/3=6

Plz help me Jen can jump rope 80 times in 60 seconds. If she jumps at a constant ratio of seconds to jumps, how many jumps can she make in 15 seconds?

Answers

Answer:

The answer is 4

Step-by-step explanation:

You just divide 80 by 15.

She can jump rope 20 times in 15 seconds

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given that Jen can jump rope 80 times in 60 seconds.

We have to determine the number of jumps can she make in 15 seconds.

Let the number of jumps would be x she can make in 15 seconds

Since she jumps at a constant ratio of seconds to jumps

So according to proportionality,

⇒ 80/60 = x/15

⇒ x = 15(80/60)

⇒ x = 20

Hence, she can jump rope 20 times in 15 seconds.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Erin is testing how a component used in a manufacturing process responds to rapid changes in temperature over a period of 30 seconds. During the test, the temperature of the component in degrees Fahrenheit at seconds is modeled by the quadratic function () -- +241 fort=0 tr = 30
Using this model, which statements are true about the test? Choose all that are correct
The initial temperature of the component is o"
The temperature is increasing for the duration of the experiment
The temperature of the component is never less than zero degrees
The component has the same temperature att and t 24
The maximum temperature reached by the component during the experiment is 144"

Answers

Answer:

The answer will be A and D and E

Step-by-step explanation:


Every 5 months, a fish grows 20 inches. How many inches would it grow in 8 months?

Answers

If a fish grows 20 inches per 5 months, that means that the fish grows 4 inches a month (20/5).

Using this, multiply 8x4 to get 32, which is your answer.

The fish will grow 32 inches in 8 months. Hope this helps!

Solve the following equation:
1/3(y - 2) -5/6 (y + 1) =3/ 4(0 - 3) - 2

Answers

Answer:

11/5

Step-by-step explanation:

If you need help with more problems like this you can use m a t h w a y. (remove the spaces)  :)

5 cm 7 cm 15 cm What is the surface area of the figure? by square centimeters ​

Answers

Is this a right triangle or triangle is solving for?

3+-7+-4 what is the answer

Answers

Answer:

-8

Step-by-step explanation:

3+-7=-4

-4+-4=-8

No spanis

Bueno espero que te sirva sino es esa Aplica la ley de los signos :v

Owen plans to deposit $4000 in a traditional IRA at the end of every six months for the next 10 years find the future value if funds are in 10% compounded semi annually

Answers

800$ because yearly he would deposit 8000$ and 10% of that would be 800$ :)

Mei has 2 yellow teacups and 5 brown teacups Which ratio compares the number of brown teacups to the total number of teacups

Answers

Answer:  5: 7

Step-by-step explanation:

The total number for teacups: 2 yellow teacups + 5 brown teacups = 7 teacups

the ratio compares the number of brown teacups to the total number of teacups is :

5: 7

The ratio that compares the number of brown teacups to the total number of teacups is 5: 7

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We are given that Mei has 2 yellow teacups and 5 brown teacups.

The total number for teacups is;

2 yellow teacups + 5 brown teacups = 7 teacups

Therefore, the ratio compares the number of brown teacups to the total number of teacups can be;

5: 7

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Factor 35y+40z please help.

Answers

Answer:

i judt want points

Step-by-step explanation:

5(7y+8z) is the answer lmk if u want she’s

which table and graph represents the equation y=2x i give brainly wjo ever it correct

Answers

Answer:

graph a and table a=B

Step-by-step explanation:

This is because for table a, if you subsite the numbers of x it would give you the answer for y such as y=2x, and since x is 2 y is 4, which is shown on the graph. And since it does not have any add ons, if you make x 0 it would be 0 so it would also be proportional through the orgin. so graph A is also correct.

HELP ANSWER GETS BRANLIEST ANSWER!

Answers

Answer: -5/4

Step-by-step explanation: You can use the graph to count the slope. The change in y is -5 and the change in x is 4, and slope is change in y over change in x.

समचतुर्भज का। परिमाप ​

Answers

45 / 9 = 5 x 100 = 500
Other Questions
HELP!! Find the distance between each pair of points. Round your answer to the nearest 10th if necessary. 1.If you were a citizen in 1796, which political party would you have identifiedwith and why? -Federalists or Democratic- Republicans? (use your graphicorganizer, too from class to help) The line "My mom claims that reality shows have made young people more rude and aggressive, but without reality shows, young people would be even more aggressive and rude because they wouldn't have a legitimate outlet for their anti-social impulses, "is an example of which logical fallacy? Can someone please help me with this? Henry constructed circle A with a radius of 4 units. He then created a sectoras shown in the figure below. Which of the following expressions would helphim find the area of the shaded sector? plz help due soon branniest to whoever right I WILL GIVE BRAINLIEST TO FIRST PERSON TO BE RIGHT!!!!!Which type of basic approach is important to apply no matter what type of note-taking system a person uses? A. Notes should come from as many different sources as possible. B. Notes should honor the original source by including direct quotations. C. Notes should correctly capture the key ideas of a text in the note-takers own words. D. Notes should be written as lists, short phrases, or other abbreviated styles of text. The inflation of airbags is due to the breakdown of a single chemical substance into two separate substances.Two molecules of sodium azide (NaN3) break down into sodium (Na) and nitrogen gas (N2) during the reaction.How many sodium (Na) atoms are produced in the reaction?1 Na atom2 Na atoms3 Na atoms What is the value of x in the equation?3(2x+3)=27 What is the equation of the line that passes through the point (-5, 3) and has aslope of -6/5 CAN SOMEONE PLEASE HELP ME I NEED THIS ASAP The volume of a cylinder is 471 cm? If theheight is 6 cm, calculate the radius.Someone plz help How does expanding our west and slavery connect?Group of answer choicesIt granted freedom to enslaved people in the Southern states.Abolitioist began to protest the spread of slavery in the new territories while Southerner's felt there rights should not be restricted by geography.The debate over slavery's expansion to the North is important.The Civil War would have to bring an end to slavery. How can we make our programs behave differently each time they are run? What events caused the New Kingdom to fall? (ill give brainliest to best answer!) Ik its a lot and srry but can somebody answer 15,16 and 17? The graph of f(x)shown below resembles The graph of g(x)x^4,But it has been vertically compressed. Which of the following could be the equation of f(x)? A f(x)=-2x^4 B f(x)2x^4 C F(x)=-1/2x^4 D f(x)=1/2x^4 ( NEED HELP ASAP PLZ) What value of x will make the equation below true?/6=15 Help me lol help the sista out The endpoints of a line segment are located at (4, 7) and (6, 3). What is the length of the line segment? Round to the nearest tenth.