The length of a rectangle is 11 units more than its width. The perimeter of the
rectangle is 182 units. Solve for the dimensions of the rectangle. What is the
area of the rectangle?

Answers

Answer 1

9514 1404 393

Answer:

width: 40 unitslength: 51 unitsarea: 2040 square units

Step-by-step explanation:

Let w represent the width of the rectangle. Then w+11 is the length. The perimeter is given by ...

  P = 2(L +W)

  182 = 2((w+11) +w)

  182 = 4w +22 . . . . . simplify

  160 = 4w . . . . . . . . . subtract 22

  40 = w . . . . . . . . . . . divide by 4

  40 +11 = length = 51 . . . . determine length

The dimensions of the rectangle are 40 × 51 units.

__

The area of the rectangle is ...

  A = LW

  A = (51)(40) = 2040 . . . . square units

The area is 2040 square units.

_____

Additional comment

The perimeter of a rectangle is double the sum of length and width, so that sum is 182/2 = 91 units. Now, this is a "sum and difference" problem, where the sum of length and width is 91, and the difference is 11. The solutions to such a problem are half the sum and half the difference of these numbers. Above, we found the smaller dimension (width) first: (91-11)/2 = 40. We could have found the length as (91+11)/2 = 51. The knowledge of the general solution to "sum and difference" problems often lets you work them with mental arithmetic.


Related Questions

Between what two numbers would 9 be located on a number line?

A. 8 and 10
B. 7 and 8
C. 9 and 10
D. 10 and 11

Answers

[tex]it \: is \: simple \\ between \: 8 \: \: \: 10[/tex]

Answer:

A

Step-by-step explanation:

the between of two bumber of 9 is 8 & 10 8<9<10

Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the ellipse. How far from the center of the ellipse will the spots be located?

Answers

Answer:

A: 2 Feet

Step-by-step explanation:

Got it right

The distance from the center of the ellipse to where the spots are located will be B. 2 feet.

How to calculate the distance?

From the information given, the The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet.

The distance from the center of the ellipse to where the spots are located will be:

= 5 - 3

= 2 feet.

Learn more about distance on:

https://brainly.com/question/2854969

#SPJ2

I need! can you help me?

Answers

Answer:

C maybe

Step-by-step explanation:

please help me with this

Answers

Answer:

Your answer is 1/10

Step-by-step explanation:

Can someone do this quick for me, ik giving all of my points​

Answers

Yessssssssssssssssssssssw









…..

Liza is building a storage container in her basement.
The container will have two sections that are connected.
How many cubic foot boxes can she store in the container?
Enter your answer in the box.
6 ft
2 ft
6 ft
8 ft
2 ft
6 ft

Answers

Answer:

312

Step-by-step explanation:

Box (1). 2*2*6=24

Box(2). 6*8*6=288

24+288= 312

Anne, Barry and colin share a prize in the ratio 3 : 4 : 5
colin gives 1/3 of his share to a charity

what fraction of the whole prize does colin give to charity?

Answers

9514 1404 393

Answer:

  5/36

Step-by-step explanation:

Colin's fraction of the prize is ...

  5/(3+4+5) = 5/12

1/3 of that is ...

  (1/3)(5/12) = 5/36

Colin gave 5/36 of the prize to charity.

What is the approximate area, in square units, of the circle shown below?

Answers

9514 1404 393

Answer:

  50.3 square units

Step-by-step explanation:

The circle has a diameter of 8 units, so a radius of 4 units. The area formula is ...

  A = πr²

  A ≈ 3.14159(4²) ≈ 50.265

The area of the circle is about 50.3 square units.

Add one set of parentheses to the expression 2x² + 4 - 5 so that the value of the expression is 75 when x = 6

Answers

Answer:

answer is +4...

Step-by-step explanation:

when x=6, the expression becomes

2(6)^2+ 4-5

2(36)+(-1)

72-1=71

therefore 71+4 gives 75

5/6 x 2/7
please help me again

Answers

Answer:

[tex] \frac{5}{6} \times \frac{2}{7} \\ = \frac{5 \times 2}{6\times 7} \\ = \frac{10}{42} [/tex]

An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed:  _____mph   Direction:______ °​

Answers

Answer:

your answer is gonna be 579 miles that would be your answer

The ground speed will be 454.2 mph in north east.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

Given that airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination.

The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east.

The component of an airplane will be

x =450  sin 10

x = -244.8

y = 450  cos 10

x = -377.5

The component of wind will be

x =34sin 85

x = -5.98

y = 34 cos 85

x = -33.4

Then the ground speed will be 454.2 mph in north east.

More about the vector link is given below.

brainly.com/question/13188123

#SPJ2

equation on
1) -6 = 9
2) 7a - 4 = = 3a + 4
3) 6y + 5 = 3y + 6
4) 5b + 2 = 3b + 10
please help​

Answers

Answer:

I know you are 100 percent Clear.

A plane traveled 588 miles each way to Athens and back. The trip there was with the wind. It
took 7 hours. The trip back was into the wind. The trip back took 14 hours. Find the speed of
the plane in still air and the speed of the wind.

Answers

Answer:

The wind speed is 21 miles per hour, and the speed of the plane in still air is 63 miles per hour.

Step-by-step explanation:

Since a plane traveled 588 miles each way to Athens and back, and the trip there was with the wind and took 7 hours, while the trip back was into the wind and took 14 hours, to find the speed of the plane in still air and the speed of the wind, the following calculations must be performed:

Downwind travel = 588/7 = 84 miles per hour

Headwind travel = 588/14 = 42 miles per hour

84 - 42 = 42/2 = 21

84 - 21 = 63

Therefore, the wind speed is 21 miles per hour, and the speed of the plane in still air is 63 miles per hour.

In how many ways can a committee of three men and three woman be formed from a group of ten men and nine woman?
A committee of three men and three woman can be formed from a group of ten men and nine woman in _________ different ways.​

Answers

Answer:

multiply ur options, so 9x10= 90

Step-by-step explanation:

What’s the equation of line n?

Answers

Answer:

y=3x - 1

Step-by-step explanation:

the y - intercept is -1

Good Luck!!

Pls help me, i need the answer rn. Please, ty. (dont scam ;-;)

Answers

Length 61 inches hope this helps

Geometry math homework please help!!!!

Answers

Answer:

(D)

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ☺️♨️♨️☺️

7 boys to 2 girls is equivalent to which ratio? 21 boys to 6 girls 14 boys to 5 girls 21 boys to 9 girls 42 boys to 12 girls​

Answers

7:2 = 21:6

This is because 7:6 is a simplified form of 21:6

Hope this helps; have a great day!

Please someone help!5m^2 - 26m -24 =0

Answers

Answer:

roots are at -4/5 and 6

Step-by-step explanation:

(5m + 4)(m - 6) = 0

5m + 4 = 0

5m = -4

m = -4/5

m - 6 = 0

m = 6

Hey Everyone! How are y’all?! Well, my teacher wants me to type a presentation about Dubai. Some friends gave me some ideas. So far I have Animals, Famous Attractions, The Burj Khalifa and Favorite Foods. Anyone got more ideas for me?

Answers

Answer:

Hm. Seems like you have it covered... how about culture?

Step-by-step explanation:

Hope I helped a lil :)

Best of luck <3

Answer:

History

Dubai’s golden era began in 1966. Oil was found at the offshore Fateh field, which is also known as the Fath of Oil. At that time, even the brightest brains could not begin to imagine Dubai relishing in the opportunities that are present in Dubai today. Oil became the gateway to a brand new world. Although it wasn’t a gateway for the locals to connect outside of Dubai, it was a gateway for foreigners to come into Dubai.

Merely a half a century ago, all of these big edifices, businesses, and residential developments were not even thought to exist. It may be hard to believe, but the village was indeed replaced by a thriving city. In 1883, Dubai’s current leaders took control, and ruled the village. Back then, the most critical financial source was limited to pearl-fishing.

Step by step, the whole city was replenished by new buildings, modern edifices and high-end apartments. The number of residents and which is of more importance, tourists is still increasing, and thus the hotels, townhouses, penthouses and apartments for rent are of high demand. Today, when you look at the exceptional oasis created by Sheik Mohammed bin al-Maktoum, along with the crown prince, it is hard to believe that this was once a village with a limited source of finances.

Does it help?

Lisa makes 35 dollars per month babysitting . She spends 25% of what she earns on entertainment. How much does she spend on entertainment.

1. 4.50$
2. 8.75$
3. 10.00
4. 25.00$

Answers

8.75 this is the answer good luck!

I need this by today!!! It’s due!! I need both questions :(

Answers

x equals less than 14 and x equals greater than 11.
For the answer x would equal 14 on the first one and for the second one it would equal 11

Brandon observes a marble travel along a horizontal path at a constant rate. The
marble travels z of the length of the path in 30 seconds. At that rate, how many
seconds does it take the object to travel the full length?
First, reason down from ſ to 3. Enter all values as fractions
(proper or improper) or whole numbers. You will need to
convert mixed numbers to improper fractions.
seconds
0
O
2/3
full lengths

Answers

Answer:

you really shouldn't put your name on the internet like that

Step-by-step explanation:

Find the length of the missing leg in the following right triangle 15 25

Answers

9514 1404 393

Answer:

  20

Step-by-step explanation:

This triangle is your basic 3-4-5 triangle multiplied by 5 to become a 15-20-25 triangle. The missing leg is 20.

_____

More at https://brainly.com/question/23176381

ILL GIVE BRAINLEST, Find the value of x.

Answers

Answer:

x=6, y=128

 

set 5x+16 = 7x+4

-2x=-12

x=6

plug x into equation= 46

180-46=134

y+6=134

y=128

Answer:

x= 45 Degrees

Step-by-step explanation:

Total Triangle= 180 Degrees

Subtract Right Angle: 180-90= 90 Degrees

Divide by 2 because it is an isosceles triangle: 90/2= 45 Degrees

Match each line, ray, or segment with the term that best describes it.

Answers

Answer:

Step-by-step explanation:

From the given diagram,

i. ACBD - circle

ii. AB = secant

ii. CD = diameter

iii. EC, EB, ED, GF and GH - radii

iv. D, C, H and F - points of tangency

v. ACB - segment

vi. CBD - semicircle

vii. CBE, BDE and FHG - sectors

vii. E and G - centers of the given circles

viii. BH and DF - tangents

ix. DAB and HF - major segments

x. EDF, EBH, GHB - right angles

xi. DA, AC, CB, BD and FH - minor arcs

Which is the y-intercept of the equations?
Equation A
Х 0
Y 1
1
4
2
9
3
16
Equation B
f(x) - -x+ 2
O A: -1, B: 2
O A: 2, B: 0
O A: 1, B: 2
O A: -1, B: -1
to coarch

Answers

Answer:

0, 1 would be y-intercept

Step-by-step explanation:

0, 1 is where the line crosses the x-axis

The Cohens found 8 pairs of shorts with the following prices:



$10, $11, $11, $16, $16, $17, $18, $38



Which statements about the prices are true? Select all that apply.




The median is $16.


The range of the prices is $28.


The interquartile range is between $6 and $7.


If the price that is the farthest from the mean is removed, the median will change.


If the price that is farthest from the mean is removed, the mean will become larger.

Answers

Answer:

the range of the prices is $28

Step-by-step explanation:

the range is 38-10 so it’s 28

How many yards of fence does Raul need to
fence in a garden that is 12ą yards long and 9
yards wide?

Don’t tell me to “download the answer” that’s bs

Answers

Answer:

Raul needs 42 yards of fence.

Step-by-step explanation:

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

P = 2(l + w)

In this question:

The fence is rectangular.

12 yards long means that l = 12.

9 yards wide means that w = 9.

Perimeter:

P = 2(12 + 9) = 2(21) = 42

Raul needs 42 yards of fence.

What is the solution for the system of equations? y=2x+7y=−4x−5 Question 1 options: (−2, 1) (1, −2) (3, −2) (−2, 3)

Answers

Answer:

Answer Below \/

Step-by-step explanation:

Answer:

(-2,3)

Step-by-step explanation:

Other Questions
Ionisation enthalpy across the group (increase or decrease)Give reasons?? Can someone help me only answer if you know it no scam links or your getting reported. Pls help meeeee and thank you so much Change the adjective in parentheses into an adverb to complete the sentence.The paper was written . (interesting) The formation of fossil fuels requires:(Choose multiple)short time periodmoderate temperaturehigh temperaturelong ageshigh pressure A drum and bugle corps rents instruments to members. Each buglerents for $10 per month and each drum rents for $5 per month.2. a. Find the monthly income Iif members rent 7 bugles and 9 drums.Then find the monthly income if members rent 9 bugles and 7 drums. A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters. The other two sides of the triangle are each 37 millimeters. What is the surface area of the triangular prism? Please help!!! Its today!!! What things you could buy in the market 1 - IdentificarFill in the blanks Activity Hide details InstructionsListen and write the past participle used as an adjective in each sentence. April 19 11:59 PM 1 attempt remaining Grade settings External referencesGrammar presentation Modelo You hear: La cena estaba preparada. You write: preparada help me please i am struggling so much!:( please help!! I'm super confused Read the passage and answer the question.European beliefs held that only a limited amount of wealth, as measured in gold and silver blocks, existed in the world. In order to gain power, nations had to gather wealth by mining these raw materials from their colonies. During the age of exploration, nations employed conquest, colonization, and trade as ways to increase their share of wealth from the New World.Which conclusion is best supported by this passage? aGold and silver were the most important commodities in Europe. bNations had no way to increase their wealth other than through colonization. cMercantilists thought their nations should control trade to create wealth, so they did not believe in free trade with other nations.dThe colonies sent their raw materials back to their mother country. The mother country sent back finished goods, such as textiles and tools. The Hike paired passage pls help me with this immediately!!! and pls give me the correct answer and dont guess or leave a link.(ill be giving brainiest to those who actually give the right answer and dont guess and those who dont leave links) PART B: Which quote from the text best supports the answer to Part A? Why might Industrialization make for grim (bad) living conditions forthe workers The dimension of a rectangular prism are 5cm, 5 cm, and 2 cm determine the surface areaA. 50 cmB. 25 cmC. 60 cmD 120 cmE. 90 cm Question 10.Which of the following are agricultural implements?(a) Seed drills(b) Silos(c) Harrow(d) All of these which term has a similar meaning to the word analysis.