The length of a rectangle is 5 metres less than twice the breadth. If the perimeter is 50 meters,find the length and breadth

Answers

Answer 1
S O L U T I O N :

As per the given question, it is stated that the length of a rectangle is 5 m less than twice the breadth.

Assumption : Let us assume the length as "l" and width as "b". So,

[tex] \twoheadrightarrow \quad\sf{ Length =2(Width)-5} [/tex]

[tex] \twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m} [/tex]

Also, we are given that the perimeter of the rectangle is 50 m. Basically, we need to apply here the formula of perimeter of rectangle which will act as a linear equation here.

[tex]\\ \twoheadrightarrow \quad\sf{ Perimeter_{(Rectangle)} = 2(\ell +b) } \\[/tex]

l denotes length b denotes breadth

[tex]\\ \twoheadrightarrow \quad\sf{50= 2(2b-5+b)} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{50= 2(3b-5)} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{50= 6b - 10} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{50+10= 6b} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{60= 6b} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\sf{\cancel{\dfrac{60}{6}}=b} \\[/tex]

[tex]\\ \twoheadrightarrow \quad\underline{\bf{10\; m = Width }} \\[/tex]

Now, finding the length. According to the question,

[tex] \twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m} [/tex]

[tex] \twoheadrightarrow \quad\sf{ \ell=2(10)-5\; m} [/tex]

[tex] \twoheadrightarrow \quad\sf{ \ell=20-5\; m} [/tex]

[tex]\\ \twoheadrightarrow \quad\underline{\bf{15\; m = Length }} \\[/tex]

Therefore, length and breadth of the rectangle is 15 m and 10 m.


Related Questions

if a tangent ratio is 14/20 what is the measurement

Answers

Answer:

4/20

Step-by-step explanation:

What is the volume of a sphere with a radius of 12 inches? Use 3.14 for x.
7,234,56 cubic inches
4,069.44 cubic inches
339.12 cubic inches
602.88 cubic inches

Answers

the volume of a sphere with a radius of 12 inches is 602.88

Find the area of this composite shape
11 cm
"11 cm
18 cm
6.5 cm

Answers

Answer:

166.5 cm squared

Step-by-step explanation:

Multiply 11x11 =121

Multiply 7x6.5 =45.5 (we get the 7 because 18-11=7)

Then we add 121 and 45.5 and get 166.5

The area of this composite shape is 166.5 square cm

Area of composite figures

Composite figures are figures that has more than 1 shape. The given figure is made up of two rectangles.

The area of the shape is given as shown below;

Area = (11*11) + (7 * 6.5)
Area = 121 + 45.5

Area = 166.5 square cm

Hence the area of this composite shape is 166.5 square cm

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Find the area of the circle. Round your answer to the nearest tenth.
9 mm
area: about
mm2

Answers

Step-by-step explanation:

area of a circle

A = pi x r^2

r=9

(50+10) ÷10=(50÷10) +10÷_)​

Answers

Answer:

40 i think

Step-by-step explanation:

**MARKING BRAINLIEST PLEASE HELP**

Answers

Answer:

6

1, 50.3

Step-by-step explanation:

the second part for question two could be anywhere from 50.1-50.4

the admission fee at a small fair is $1.50 for children and $4.00 for adults. on a certain day, $5,050 is collected. if $1,00 adults attended the fair, write and solve linear equation to find the number of children that attended

Answers

Answer:

Step-by-step explanation:

Ok here:

(5050-[100·4])÷1.50=k(kids)

(5050-400)÷1.50=k

3100=k

In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of spots showing is six, you win $4. And if the number of spots showing is one, two, or three, you win nothing. You are going to play the game twice. The probability that you win at least $1 both times is

Answers

Answer:

The probability that you win at least $1 both times is 0.25 = 25%.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of winning at least $1 on a single game:

The die has 6 sides.

If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So

[tex]p = \frac{1}{2} = 0.5[/tex]

You are going to play the game twice.

This means that [tex]n = 2[/tex]

The probability that you win at least $1 both times is

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25[/tex]

The probability that you win at least $1 both times is 0.25 = 25%.

The probability that you win at least $ 1 both times is 25%.

Since in a particular game, a fair die is tossed, and if the number of spots showing is either four or five, you win $ 1, while if the number of spots showing is six, you win $ 4, and if the number of spots showing is one, two, or three, you win nothing, and you are going to play the game twice, to determine the probability that you win at least $ 1 both times the following calculation must be performed:

2/6 = 1 1/6 = 4 3/6 = 0 3/6 x 3/6 = X 0.25 = X

Therefore, the probability that you win at least $ 1 both times is 25%.

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whats 5.90x6.90

will give brainlest

Answers

Answer:

40.71

Step-by-step explanation:

30

I am from the Spanish server where I am ranked star

uwu

Help please and thank you

Answers

Answer:

B is correct: 3x=40

Step-by-step explanation:

just cross multiply and mark brainliest if you feel like it :)

Answer:

3x =40

Step-by-step explanation:

3 will cross multiply with x then 4 will multiply 10

Hence 3x=40

At a school there 8 students who play violin, 10 students who play guitar, 3 students who play both , and 12 students who dont play any intrument at all. If a student is randomly selected from tis school, what is the probability that they play violin or guitar?

Answers

Answer:

Probably Guitar because it is much more popular

Step-by-step explanation:

Answer:

7/11

Step-by-step explanation:

21/33= 7/11

Please help I need this I will give brainlest

Answers

Answer:

6 is B since we finding W the variable can't be on both sides of the equation, or else we might end up with w = w.

7 is A because when you graph the equation the slope is 1 and the line crosses the y line at 2.

Step-by-step explanation:

A TV priced at £600 is reduced by 15% in a sale. What is the sale price of the TV?
(It’s not 90)

Answers

Answer:

It's 510!

Step-by-step explanation:

15% of 600 = 90

600-90 = 510

how do i find an angle on any corner using sine ratio​

Answers

Answer:

Step-by-step explanation:

Make sure the computed ratio is present on your calculator and hit the sin^-1 key. This “inverse sine” function takes a known ratio and returns the angle that produced that ratio. For example, sin^-1(0.8) = 53.130 degrees.

for more;

https://sciencing.com/calculate-angle-sin-7413442.html

PLEASE HELP WITH GEOMETRY QUESTION!!

Answers

Answer:

s.a = 220 v=200

Step-by-step explanation: s.a2(5*4)+2(4*10)+2(5*10)= 220

V= 5*4*10=200

Solution :

Dimensions given :

Length = 5 cmBreadth = 4 cmHeight = 10 cm

Surface area of a cuboid

2 ( lb + bh + hl )2 ( 5 × 4 + 4 × 10 + 10 × 5 )2 ( 20 + 40 + 50 )2 ( 60 + 50 )2 ( 110 )220 cm²

Volume of the cuboid

Length × Breadth × Height 5 × 4 × 1020 × 10200 cm³

Do the following side lengths make a right traingle?
11, 60, 62


Yes or no?

Answers

Answer:

No but 11,60, and 61 do make a right triangle

PLEASE HELP!!!
The club will base its decision about whether to increase the budget for the indoor rock climbing facility on
the analysis of its usage. The decision to increase the budget will depend on whether members are using
the indoor facility at least two times a week. Use the best measure of center for both of the original data
sets to determine whether the club should increase the budget. Assume there are four weeks in a month.
If you think the data is inconclusive, explain why.

Answers

Answer:

Yes, they should increase the budget, because both 8 (Manuel) and 9 (Gretchen) are at least 8. 8 times per month is equivalent to 2 times per week.

Step-by-step explanation:

Answer from Plato

Hence, the answer is Plato.

What is the measurement?

Measurement is the process of finding a number that shows the amount of something. Time the ongoing sequence of events is time. We can measure time in seconds, minutes, hours, days, weeks, months, and years.

Here given that,

The club will base its decision about whether to increase the budget for the indoor rock climbing facility on

the analysis of its usage. The decision to increase the budget will depend on whether members are using

the indoor facility at least two times a week. Use the best measure of center for both of the original data

sets to determine whether the club should increase the budget.

As per this we get that,

Yes, they can increase the budget, because both Manuel has [tex]8[/tex] and Gretchen [tex]9[/tex] are at least [tex]8[/tex] and [tex]8[/tex] times per month is equivalent to the two times per week.

Hence, the answer is Plato.

To know more about the measurement

https://brainly.com/question/18076822

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EASY MATH PLEASE HELP
NO LINKS PLEASE
EXPLANANTION REQUIRED
I WILL GIVE BRAINLIEST
: ) HINT: THE ANSWER IS NOT A

Answers

Answer:

i belive C would be correct

Step-by-step explanation:

so so sorry if im wrong.

might be option c is the answer

i need it solved and explaned

Answers

Answer:

m = -24

Step-by-step explanation:

(m/6) - 7 = -11

Add 7 to each side

(m/6) - 7+7 = -11+7

m/6 = -4

Multiply each side by 6

m/6 *6 = -4*6

m = -24

Answer:

Step-by-step explanation:

m/6-7=-11

m-6*7/6=-11

m-42=-11*6

m-42=-66

m=-66+42

m=-24

Simplify.
-6√7 • 4√5
-2 √35
-24 √35
24 √35

Answers

Answer:

-24·[tex]\sqrt{35}[/tex]

Step-by-step explanation:

what are the outliers for 125, 165, 173, 183, 192, 230

Answers

Answer:

I think 230

Step-by-step explanation:

hope it's help.

I think the answer is 230

Please help
13+7= -2(2x-10)

Answers

I finish this so I think x=0 please tell me if it’s wrong

Answer:

x = 1  or x

Step-by-step explanation:

13+7 = -4x +20

24 = -4x + 20

-20         - 20

4 = -4x

/4     /4

1 = x

or x

What is cos45degrees? work shown please

Answers

Answer: [tex]\dfrac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

The value of [tex]\cos 45^{\circ}[/tex] is the fixed value i.e. [tex]\frac{1}{\sqrt{2}}[/tex]

The values of cosine changes from a maximum at [tex]0^{\circ}[/tex] to a minimum at [tex]180^{\circ}[/tex]

for example, [tex]\cos 0^{\circ}=1, \quad \cos 90^{\circ}=0,\quad \cos 180^{\circ}=-1[/tex]

If you wash your car every 15 days & I wash mine every 20 days, in how many days will we be washing them on the same day?

Answers

Answer: 60 days

Step-by-step explanation:

To get the number of days that both of them will be washing the cars on thesame day, we have to find the lowest common multiple of 15 and 20. This will be:

Multiple of 15 = 15, 30, 45, 60, 75, 90

Multiples of 20 = 20, 40, 60, 80, 100

Lowest common multiple = 60

Therefore, they'll be Washing the car on thesame day on the 60th day.

Which expression gives the length of AB If the circumference of the circle is
38 cm?

Answers

Answer:

A   145/360 * 38

Step-by-step explanation:

What is the value of x that makes the following equation true? You must show your work to get credit. (-2)^4x+2 / (-2)^2x = (-2)^12

Answers

Step-by-step explanation:

you will add the powers 4×+2=6×

then(-2)^6

after this,you will multiply the (-2)^6=(-2)^12

1. Calculate exactly;
(b) 3/4 + 2/3 + 4/5

Answers

2.2166666666 this is what I got man

Can someone help me on this for 13 points

Answers

Answer:

look at the picture i have sent

Answer:

m < ABD = 135

x = 67.5

Solve the system of equations.
3х + 4y = - 23
х = 3y +1

Answers

ANSWER:
x = -5
y = -2

3) If your weekly salary is $415.00, how much do you take home each week after deductions are made for federal income tax of $82.13, state tax of $9.74, social security and Medicare tax of $31.75, and retirement plan deduction of $41.50.

Answers

Answer:

249.88

Step-by-step explanation:

415-82.13-9.74-31.75-41.50

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