A rectangular living room has a perimeter of 40 meters. Its area is 100 square meters. What are the dimensions of the living room?

Answers

Answer 1

In response to the question, we may say that So the dimensions of the rectangular living room are 10 meters by 10 meters.

What is rectangle?

In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a fundamental rule hexagon or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.

Let's denote the length of the rectangular living room as "L" and the width as "W".

Perimeter = 2L + 2W = 40

L + W = 20

We also know that the area of the living room is 100 square meters.

Area = L x W = 100

L + W = 20 (equation 1)

L x W = 100 (equation 2)

We can solve for one of the variables in terms of the other in equation 1:

[tex]L = 20 - W\\(20 - W) x W = 100\\20W - W^2 = 100\\W^2 - 20W + 100 = 0\\where a = 1, b = -20, and c = 100.\\W = (-(-20) + \sqrt((-20)^2 - 4 x 1 x 100)) / 2 x 1\\W = (20 + \sqrt(400 - 400)) / 2\\W = 10\\L + 10 = 20\\L = 10\\[/tex]

So the dimensions of the rectangular living room are 10 meters by 10 meters.

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Related Questions

1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint​

Answers

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

What number is triple six?​

Answers

Answer

The answer is 666

Helpp I’ll give brainilest to whoever answers first

Answers

Answer:

89

Step-by-step explanation:

5nttddddddddddddddddddddd

Which expression is equivalent(equal to) to
(10+77-12)+(-672-18+51) HELPPPPP

Answers

(10+77-12)+(-672-18+51)

(87-12)+(-690+51)

75+(51-690)

75-639

-564

---

hope it helps

what is the quotient of 3/20 of 10 is divided by 5/10 of 6/14?

Answers

Answer:

30

Step-by-step explanation:

6/10 of 20 is 12

 

7/14 of 12/15 is 1/2 of 4/5 which is 2/5

 

so you have to compute 12 ÷ 2/5 which is done as 12 times (5/2) which is 30.

Can someone please help?

Answers

Answer:

SOME OF THE WORDS ARE BLURRY TRY TAKING A BETTER PICTURE

Helppppp!!! due in a few minutes

Answers

Answer:

b is the answer

Step-by-step explanation:

Solve it and take y in right hand side

9=x/12
What is x
I will give brainliest if correct

Answers

108 hope this helps.


NEED ANSWERS PLEASE!


Which statement is true?
A)
Company l's rate per pound is twice the rate per pound of
Company 2.
B)
Company 2's rate per pound is twice the rate per pound of
Company 1.
© Company. 1's fixed fee is twice the fixed fee of Company 2.
D Company 2's fixed fee is twice the fixed fee of Company 1.

Answers

i’m pretty sure it’s the second answer? but not for sure i’ve done this before though

Helena has probability 1/3 of hitting a target with an arrow; Marco has probability of 2/5. If they fire at the target, determine the probability that
a. both hit the target

b. both miss the target

c. Helena hits the target and Marco misses it

d. Helena misses the target and Marco hits it

Answers

B. They both miss the target

A multiple choice test has 30 questions each with four options. What is the probability of getting all 30 questions correct by guessing?​ do not evaluate

Answers

Answer:

1 out 4^30

not very good odds!

Laura's new bedroom is in the shape of a square and has an area of 144 ft2
What should Laura do to find the length of each side of her bedroom?

Answers

She should find the square root, of 144 sq ft, which is 12 ftHope that helps!

The length of each side of her bedroom is 12 feet.

Here,

Laura's new bedroom is in the shape of a square and has an area of 144 ft2.

We have to find the length of each side of her bedroom.

What is Area of square?

If the side of a square is 'x' then, Area of square is [tex]x^{2}[/tex].

Now,

Laura's new bedroom is in the shape of a square and has an area of 144 ft2.

Let length of each side is x.

Then,

[tex]x^{2} = 144\\\\x = \sqrt{144} \\\\x = 12[/tex]

Hence, The length of each side of her bedroom is 12 feet.

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20 POINTS PLZ HELP
What would the equation y = -2x + 24 look like when graphed?

It would be a straight line.
It would be a curve.
It would be a parabola.
It would be a triangle.

Answers

Answer:

It would be a straight line.

Step-by-step explanation:

It would be a negative, linear line. It would be steep.


A single die is rolled. Find the probability of getting an odd number or a number less
than 5.

Answers

Answer:

Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5

Step-by-step explanation:

WILL GIVE BRAINLIEST!!

please help meee the question is in the picture

Answers

Answer:

The answer is 6cm

Step-by-step explanation:

Find the value of x for m (arc AB)=23 and m(arc CD)=32 (the answer will be a decimal )

Answers

Ok Ok Ok Ok Ok Ok Ok Ok Ok

which slope represents a like that passes through (4, 1/3) and has a slope of 3/4

Answers

Answer:

Answer is in her photo

Step-by-step explanation:

i dont remember need the points though

PLZ HELP QUICKLY PLZ 20 POINTS PLZ

Answers

Answer:

I think we could use pemdas for this

Step-by-step explanation:

parenthesis

exponents

multiply

divide

add

subtract

multiply 9 and 3 would probably be best

Answer:

add -15 and 9

Vertical/supplementary/Complementary Angles (Algebraic)​

Answers

these are vertical angles, and t=12.
the angle measurements are 97°, 97°, 83°, 83°. is this what you were looking for? here’s the work on how i got this:

97= 8t+1
subtract 1 from both sides
96=8t
divide both sides by 8
12=t


because 97 and 8t+1 are vertical angles, they are automatically equivalent.

to find the other angles, you would do

180-97=83

the last angle is 83° because it is a vertical angle to the other 83° angle.

if this helped please mark brainliest and if you need more to this answer or more of an explanation lmk

A park bench is 2½ yards long and ⅓ yard deep. How many square yards is its sitting area?

Answers

Answer: 1.4259

Explanation: Square 2 1/2 comes up with 6 1/4 then square root that then multiply by 1/3

given polynomials p, q, r, and s . q≠0 ,s≠0 and r≠0

Answers

Answer:

[tex]\frac{p}{q} \div \frac{r}{s} = \frac{ps}{qr}[/tex]

Step-by-step explanation:

Given

[tex]\frac{p}{q} \div \frac{r}{s} =[/tex]

Required

Solve

[tex]\frac{p}{q} \div \frac{r}{s} =[/tex]

Turn division to multiplication

[tex]\frac{p}{q} \div \frac{r}{s} = \frac{p}{q} * \frac{s}{r}[/tex]

[tex]\frac{p}{q} \div \frac{r}{s} = \frac{ps}{qr}[/tex]

Select the correct answer.
A company is analyzing whether its employees prefer to skip their lunch break and leave a half-hour early each day or take a lunch break and
leave at the normal time each day. It conducts an observational study to determine which option is selected more often. At the end of the first
week, the company finds that the majority of employees prefer to skip their lunch break and leave a half-hour early each day.
The company then repeats the observational study for 10 more weeks. The study yields the same results for only five of the weeks. What
generalization can be made from the results of this study?
A. The sample is biased; therefore, a generalization cannot be made regarding which option is selected more often.
B. The majority of employees prefer to skip their lunch break and leave a half-hour early.
C. The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
D. The majority of employees prefer to take a lunch break and leave at the normal time each day.

Answers

Answer:

The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.

Please give me brainliest, I really need it.

Which represents the value of c?

Answers

Answer:

Step-by-step explanation:

you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???  

some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.

Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this.   Ask about it if you don't get it.  :)

Sin(45) / c   = Sin(45) / 3  

now algebraically solve for c

3* Sin(45) / Sin(45)  = c

if you're thinking the answer is 3 you're right.

indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs.   so  you know that x = 3 right away from that, but, it's good to understand Law of Sines as well.  :)  

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

3(8+17)

Step-by-step explanation:

Since the gas prices are the same, we need to find a number that divides into both 24 and 51.

The factors of 24 are 1,2,3,4,6,8,12,24.

The factors of 51 are 1,3,17,51.

So, their common factor is 3. Price of gallon of gas = $3

Now we know the price, we can divide each total by 3 to find out how many each person bought.

One person bought $24 of gas: 24/3 = 8: They bought 8 gallons of gas

Another person bought $51 of gas: 51/3=17: They bought 17 gallons of gas

Represented as an expression, this is:

3(8+17)

Answer:

the correct answer to this is 3(8+17)

Factorise the following:​

Answers

Answer:

hello sis!!!

Step-by-step explanation:

hope this helps you ^_^

Answer:

49x²-16/25

=(7x)²-(4/5)²=(7x+4/5)(7x-4/5)

use formula

a²-b²=(a+b)(a-b)

A man's estate is valued at $150,000. It is to be divided so that his wife receives twice as much as his son. How much does his son inherit

Answers

Answer:

50,000

Step-by-step explanation:

50,000 will be the answer trust me!! ;)

HELP QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

b,bcoz of the gravity inside the popcorn

Answer:

a) 7 pounds

b) 6.7 pounds (2 boxes of size 2 kg, 1 size 1kg)

A solid figure is shown. It is a rectangular prism. 3 cm 5 cm 9 cm What is the volume of the figure? A. 17 cm 3 B. 27 cm 3 C. 45 cm 3 OD. 135 cm H E. 174 cm 3​

Answers

Answer:

Step-by-step explanation:

17

what's the denominator of 75/? if 30/42

Answers

Answer:

The answer is 42 there you go

Step-by-step explanation:

Which function is not the same as the other three?

Answers

Bottom left I think..
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