the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rectangle

Answers

Answer 1

Answer:  The width is 7 meters. The length is 10 meters.

Step-by-step explanation:   Area = Length × width

Length is 2w - 4  

Substitute that value for length, then solve for w.

70 = w(2w - 4)

70 = 2w² - 4w  reorganize to quadratic equation form

2w² - 4w -70 = 0   These are All even numbers; factor out 2 (divide all by 2)

w² - 2w - 35 = 0  factor this

(w - 7)(w + 5)    set each factor = 0 and calculate the value of w.

w+5=0  w= -5  (disregard this one because dimensions of real rectangles can't be negative)

w - 7 = 0  w = 7   The width is 7

Substitute into the original expressions to get the value of Length.

2(7) -4 = L    14 - 4 = L  The Length is 10.

Check by substituting into the original equation:

w × 2w -4 = 70

7 × 2(7) -4 = 70

7 × 10 = 70    TRUE!

w

Answer 2

Dimensions of the rectangle are length=10 meter and width= 7 meter

What is Rectangle?

A rectangle is a quadrilateral with four right angles.

Given,

The length of a rectangle is 4 meter less than twice its width

Consider,

l is the length of the rectangle

w is the width of the rectangle

l=2w-4

Area of the rectangle = Length × Width

70=l × w

Substitute the value of l is the second equation

70=(2w-4)×w

[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]

Take 2 outside

[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]

w=7,-5

Hence w wont be negative value

Therefore w=7 meter

Then,

l×w=70

[tex]l=\frac{70}{7}\\[/tex]

l=10 meter

Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter

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Related Questions

I NEED HELP ASAP ILL GIVE BRAINLIEST
50 = 1.56x+1.29

Answers

Answer:

x approximately = 31.22  

Step-by-step explanation:

1.29 + 1.56x = 50

- 1.29               - 1.29

_________________

1.56x = 48.71

___________

       1.56

  x approximately = 31.22

Hope this helps at all!

Which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function? (4 points)

Input
(x) Output
(y)
−5 7
−3 15
−1 23
? ?

Answers

Answer:

the answer is (1,31)

Step-by-step explanation:

As the x value increases by the y value increases by 8

Answer:

C. 1, 31

Step-by-step explanation:

Margo is selling boxes of nuts to raise money for her club. She finds that 3 out of every 7 boxes of nuts are cashews. Write a ratio to represent the number of boxes of cashews to the total number of boxes sold.

Answers

Answer:

3 : 7

Step-by-step explanation:

make sure the three of on the left

The number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b

Margo finds that 3 out of every 7 boxes of nuts are cashews.

In order to calculate the ratio of two quantities, we can use the following steps

First, we must determine the quantities for both scenarios for which we are calculating the ratio. In this situation, there are three cashews and seven boxes.

Write it as a fraction, a/b. As a result, we write it as 3/7.

Therefore, the number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.

Learn more about the Ratio here:

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Determine the intercepts of the line.
y- intercept: (___, ___)
x- intercept: (___,___)


Answers

Answer:

Y-int (0,-6)

x-int (-8,0)

Step-by-step explanation:

Answer:

Give more clear question pls

Step-by-step explanation:

The football team has a total of 20 jerseys. There are 2 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

10%

Step-by-step explanation:

The answer is 10% because when you multiply 20 by 10% you get 2 and if you multiply 2 by 10 you get 20.

Answer:

10%, remember to hit that thanks button

Step-by-step explanation:

576 is 450% of what number ?

Answers

The answer is 128. Sorry I’m really bad at explaining

50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!

Answers

Answer:

x=4

x=17.9

Step-by-step explanation:

For the first diagram.

cos(45°)=x/4√2

x=4√2cos(45°)

x=4

For the second diagram

tan(38°)=14/x

0.781=14/x

x=14/0.781=17.9

please I need some help with both questions.

Answers

Step-by-step explanation:

which questions you were asking

Find the Slope, Midpoint, and Distance for the coordinates (3, 9) and (5, 0).

Answers

Slope: Y= -9/2x+45/2 or Y= -4.5x+22.5

Midpoint: (4, 4.5)

Distance: √85 or 9.219544

Step-by-step explanation:

These are the Formulas:

division problem help pls

Answers

Answer: B. D. E. F.

Step-by-step explanation:

1+1=?
a. 0
b. 1
c. 3
d. 2
i need a good explanation!!!

Answers

Answer:

d.2

Step-by-step explanation:

because if you have 1 blue bead then ur friend gives you another blue bead that makes 2 blue beads.

hope this helps

If 3.485÷5.1 is random long division form so that advisor is rain as a whole number where one the decimal point the place in the dividend.

Answers

When it comes to division 3.485 would be apart of the Warhol there for it is non targeted

1. The base of an open rectangular tank is 3.2 m by 2.8 m. Its height is 2.4 m. It contains
water to a depth of 1.8 m. Cal culate the surface area inside the tank that is not in conta
with water.

Answers

Answer:

16.64 m

Step-by-step explanation:

Subtract the depth of the water from the height of the tank (0.6) and use this measurement for height instead. then calculate l•h•2+w•h•2+l•w

(we multiplied the length and height and the width and height by two since there’s two sides with the same measurement for each)

OMG PLSS ANSWERR People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Answer:

260 gallons

Step-by-step explanation:

Hope it's correct

Which of the following phrases describe the functions of the digestive system?

I. Smooth, muscular tube connects the mouth to the stomach
II. Muscular action in the esophagus pushes food to the stomach
III. Structures called microvilli increase the surface area of the intestines
IV. Nutrients are absorbed and then made available to the body’s cells

Answers

II is the answer I believe

Answer:

IV, number 4

Step-by-step explanation: The reason why is because the digestive system is used when you eat your body absorbs all the nutrients from the food you ate to create energy.

whats the sum or difference? 2.7 + 0.3​

Answers

Answer:

the answer is 3

Step-by-step explanation:

Answer:

your in highschool and you cant do that?

i worry for you 3

Step-by-step explanation:

Jennifer wants to buy new basketball shoes. She has $45 and plans to save $35 a week. How many weeks would she need to save if the shows cost a total of $115

Answers

Answer:

Jennifer will need to save 35$ for 2 weeks.

Find p(4) p(x) = 3x - 9

Answers

Answer:

p(4)=3

Step-by-step explanation:

p(4)=3(4)-9=12-9=3

Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts. He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture. On day 1, he mixes 4 cans of blue and 6 cans of yellow. On day 2, he mixes 6 cans of blue and 9 cans of yellow. Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3. 1. In simplest form, what is the ratio of blue paint to yellow paint in the mixture?

Answers

Answer:

2 : 3

Step-by-step explanation:

Total cans of blue paint = 14

Total cans of yellow paint = 20

Day 1:

Yellow paint = 6 cans

Blue paint = 4 cans

Ratio of blue paints to yellow paint

4 cans : 6 cans

= 2 : 3

Day 2:

Yellow paint = 9 cans

Blue paint = 6 cans

Ratio of blue paints to yellow paint

6 cans : 9 cans

2 : 3

The ratio of blue paint to yellow paint in the mixture is 2 : 3

Day 3:

Cans of yellow remaining after 2 days

Yellow paint = Total cans of yellow paint - day 1 cans of yellow paint - day 2 cans of yellow paint

= 20 - 6 - 9

= 20 - 15

= 5 cans

Cans of blue remaining after 2 days

Blue paint = Total cans of blue paint - day 1 cans of blue paint - day 2 cans of blue paint

= 14 - 4 - 6

= 14 - 10

= 4 cans

The value of a stock dropped a total of $18 over a 3-day period. Each day during this stretch the value dropped the same amount. What integer represents the change in the value of the stock after the first day?

Answers

1/3 of 18 = 6

the song dropped $6 each day

Answer: -6

Step-by-step explanation:

The value of a stock dropped a total of $18 over a 3-day period meaning -6 dollars each day.

-18/3

NEED HELP IN Algebra 2

Answers

Answer:

1) According to your choices, 3.

2) The other two points must be critical points/undefined (imaginary according to your choices)

3) Synthetic division  

4) I don't see why the quadratic formula is a choice, but it's the last remaining option.

Help plisssssssssssssss!!!

Answers

Answer:

Question 2: v = 25n

Question 3: b (the output is 250 because 10 quarters is 250 cents)

Step-by-step explanation:

Each quarter is worth 25 cents. n represents the number of quarters you have. The number of quarters you have multiplied by 25 with give the value of the quarters in cents.

v = 25n

v = 25(10)

v = 250

(v represents the value in cents)

Mae Ling earns a weekly salary of $315 plus a 7.5% commission on sales at a gift shop. How much would
she make in a work week if she sold $4,900 worth of merchandise?
She would make $

Answers

Answer:

4400*7.5%=330+315=$645 a week

Step-by-step explanation:

#13, what is my answer ?

Answers

Step-by-step explanation:

don't tell no one but you should install math.way it help so much

I need to know what are the coordinates of point n and a explanation

Answers

Answer:

it is A

Step-by-step explanation:

you line up the numbers and the horizonal line first

pllllllllllllllllllllzzzzzzzzzzzzzzz hhhhhhhheeeeeeeeelllllllllllppppppppp

Answers

1 - a comparable
2 - ? what are the words to pick from
3- contradiction

So basically online school + me = procrastination .

Answers

a) m=3 b=5
b) m=5/-4 b=0
c) m=0 b=3
d) m=4 b=7

In the diagram, line l and line m are parallel,. Identify the relationship between the angles in the diagram.

∠3and∠5



A
Complementray Angles

B
Vertical Angles

C
Corresponding Angles

D
Supplementary Angles

Answers

Answer:

I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol

Step-by-step explanation:

i hope it work

Chef Pillsbury's secret recipe requires 7 eggs for every 2 cups of flour. How many eggs will he needed if he uses 8 cups of flour?​

Answers

56 I hope this helps hdudvushdushhsgvs


Sara says, "If you subtract 19 from my number and multiply the difference by - 2, the result is -4."
What is Sara's number?
Sara's number is

Answers

Her number is 27, I hope
I don’t know how you got 27 but that’s not right. Sara’s number is 21. Because this is the problem

X=Sara’s number
(19-x) • 2 = -4
38-2x = -4
To bring 38 to the other side subtract it
-2x = -4 -38
-2x= -42
Divid -2 by -42 to get X by itself
X = 21

Put X into the equation to check
(19-21) •2= -4
-2•2 = -4
-4=-4

If I got that wrong I’m sorry and I’m sorry for being cocky but 27 doesn’t make sense but I could have gotten the equation wrong in the beginning
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