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

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

Answers

Answer:

p(4)=3

Step-by-step explanation:

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

NEED HELP IN Algebra 2

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Answer:

1) According to your choices, 3.

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Answer:

x approximately = 31.22  

Step-by-step explanation:

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- 1.29               - 1.29

_________________

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___________

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Hope this helps at all!

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

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Answer:

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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:

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Blue paint = 4 cans

Ratio of blue paints to yellow paint

4 cans : 6 cans

= 2 : 3

Day 2:

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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

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Answer:

Question 2: v = 25n

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

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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.

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Answer:

the answer is 3

Step-by-step explanation:

Answer:

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i worry for you 3

Step-by-step explanation:

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

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Answer:

x=4

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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

Mae Ling earns a weekly salary of $315 plus a 7.5% commission on sales at a gift shop. How much would
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Answer:

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the song dropped $6 each day

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Answers

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Step-by-step explanation:

These are the Formulas:

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Answers

Answer:

16.64 m

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Step-by-step explanation:

which questions you were asking

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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

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Learn more about the Ratio here:

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Answers

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Answers

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