A path 5m wide runs along inside a rectangular field. The length of the rectangular field is three times the breadth of the field. if the area of the path is 500m2, then find the length and breadth of the field..

Answers

Answer 1

Answer:

Length = 45m

Breadth = 15m

Step-by-step explanation:

Dimensions of Rectangular field:

Let the breadth (B)=BC = x m

Length (L) = AB = 3x m

width of the road (w) = 5 m

Dimensions of inner rectangle:

length (l) = EF = L-2w

= 3x - 2×5

= (3x-10) m

breadth (b)=EH = B-2w

= (x-10) m

Given ,

Area of the path =500 m²

=> Area of ABCD - Area of EFGH = 500

=> L×B - l×b=500

=> (3x)× x - (3x-10)(x-10)=500

=> 3x²-(3x²-30x-10x+100)=500

=> 3x²-3x²+30x+10x-100=500

=> 40x=500+100

=> 40x = 600

=> x = 600/40

=> x = 15

Therefore,

Length (L) = 3x = 3×15 = 45m

Breadth (B) = x = 15m

Mark me as brainliest if it was helpful


Related Questions

Type the correct answer in the box. Spell the word correctly.

Which type of demand has been created?

When the mortgage rates get high, the housing market will collapse, as fewer people will take loans for buying houses because of higher interest rates, and this will result in a demand.

Answers

Answer:

Scarce demand / inflation

The word "scarce" means low on supplies or anything else.

Inflation is the term used when a price increases in the market.

These two terms together would best describe the higher demand.

Hope this helps, have a great day! ♥

Please help if you can.

Answers

Uhhhhhhhhhh.......:)

A factory needs to produce 1,800 jars of peanut butter on a certain day.
They start production at 8:30 A.M. By 10:30 A.M., they have produced 600 jars of peanut butter.
At what time will they complete the total number of jars that they need to produce?
A. 12:30 P.M.
B. 1:30 P.M.
C. 2:30 P.M.
D. 3:30 P.M.

Answers

Answer:

I think the answer is D

consider the graph of the function f(x) = 10^x

Answers

Step-by-step explanation:

I can't see the rest of answer choices so I can't say which is the answer. But the graph of g(x) is going to be shifted to the left 4 units

the triathlon is raising money by charging entry fees. They collected $600 in entry fees. Each participant paid $10. How many people paid to participate in the event?

Answers

Answer:

60

Step-by-step explanation:

$600

each person paid $10

600/10

60

Please solve these I need them

Answers

Answer:

option a might be correct but I am not sure maybe you should consult a tutor because he or she may know better than me

Mom is getting food ready for my birthday party! including me, there will be 24 people at the party. Mom is baking cupcakes for us! She can bake 16 cupecakes per batch. How many batch should i tell Mom to make so we can each have 4 cupcakes

Answers

You should tell your mom to bake 8 cupcake batches

Please Help me Its a Math question!!!! Please

Answers

Answer:

The first one should be the answer. 90 degrees counterclockwise.

Answer:

See below.

Step-by-step explanation:

The answer would be 90 degrees counterclockwise. Think of a clock. The direction it usually goes is clockwise. The opposite direction is counterclockwise. So, this triangle rotated counterclockwise.

-hope it helps

(a) Find the approximations T10 and M10 for 2 25e1/x dx. 1 (Round your answers to six decimal places.) T10 = M10 = (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) |ET| ≤ 0.001667 Incorrect: Your answer is incorrect. |EM| ≤ (c) How large do we have to choose n so that the approximations Tn and Mn to the integral in part (a) are accurate to within 0.0001? n = for Tn n = for Mn

Answers

Answer:

A) T10 = 50.549391

    M10 = 50.477547

B)  ║ET10 ║= 0.169093

    ║EM10║= 0.084946

C)for ║ETN ║   N = 421

   for ║EMN ║  N = 292

   Step-by-step explanation:

A) F(x) = 25e[tex]^{\frac{1}{x} }[/tex]

where a = 1, b = 2 and bx = 1/10

attached below is the detailed solution

B) f'(x) = [tex]- \frac{25}{x^{2} } e^{\frac{1}{x} } ,[/tex]   f"(x) = 25 [([tex](\frac{2x+1}{x^4} )e^{\frac{1}{x} }[/tex]

attached below is the detailed solution

√6 + √5
please help me answere this qustion in STEP - BY - STEP solution

Answers

Answer:

√6 + √5= 4.69

Step-by-step explanation:

First,  simplify the radicals-

in this situation, we have nothing to simplify.

√6 = aprx 2.45

√5 = aprx 2.23

√6 + √5= 4.685

= aprx 4.69

What is the difference between the two points (0,9) and (0,1)?

Answers

Answer:

0,1-0,9

-0,8

Step-by-step explanation:

Subtract the second point from the first point.

What’s the name of the transformation???

Answers

it is a reflection across the x axis because the line is the same going across

Which expression is equivalent to |18|+ |-7|?

Answers

Answer:

18+7

Step-by-step explanation:

The graph shows y = cot(x). Which of the following are true of its inverse? Check all that apply.

Zeros: None
Domain: All real numbers
Range: [0, π]
Minimum: 0
Maximum: None
Increasing intervals: The entirety of its domain

Answers

Answer:

Zeroes: None

Domain: All real numbers

Maximum: None

Step-by-step explanation:

EDGE PRECAL 2020

Answer:ZERO-none

Domain:all real numbers

Maximum:nun

Step-by-step explanation:

38
Is that a perfect square

Answers

no cuz u have to be able to divide by 4 i think

Answer:

yea, its a perfect square

Step-by-step explanation:

what is this one? please help

Answers

Answer: A-$770

Explanation:

Money for overpay: 140 x1.5= 210
Money for 40 hours:560

210+560= $770 total

Ben is traveling to Santa Cruz and needs a full tank of gas. A full tank of gas gives him a total of 260 miles until empty. So Ben goes to the gas station to fill up his tank but he only has $11.86. If $11.86 only gives Ben a total of 60 miles until empty, how much money does he need in all, to get a full tank of gas to drive to Santa Cruz? Round your answer to the nearest dollar. ?

Answers

260 miles / 60 miles = 4 1/3

He would need 4 1/3 more gas:


11.86 x 4 1/3 = 51.39


he would need $51.39

The Answer is : $51.39…

Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.

Answers

Answer:

Indirect variation

Step-by-step explanation:

If two variables change in inverse proportion, then it is called indirect variation.

xy = k where k is a constant.

5*2 = 10

10*1 =10

[tex]15*\dfrac{2}{3}=5*2=10\\\\\\20*\dfrac{1}{2}=10[/tex]

So, this is indirect variation.

What one does not belong!!! Help

Answers

Answer:

the parallel lines

Step-by-step explanation:

the title is classifying angles... the parallel lines don't have an angle so I'm guessing it's the parallel lines

What is the quotient. Of 25)9250

Answers

Answer:

370

Step-by-step explanation:

Isolate the numbers so that you are only dividing sections at a time.

So 25 goes in to 92 three times. so we multiply 25 by three and subtract that from 92. Put the three at the top and repeat throughout.

92-75=17

Bring the next number down and repeat.

Answer: 370 Remainder 0

Step-by-step explanation:

Are the lines y=0 and x=0 parallel?

Answers

The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it. Let P (x, y) be any point on the y-axis. Then clearly, for all position of P we shall the same abscissa 0 or, x = 0. Therefore, the equation of y-axis is x = 0.

Answer:

No, these equations are not parallel.

Step-by-step explanation:

The equation [tex]y=0[/tex] is a vertical line. This equation, in fact, is the y-axis.

The equation [tex]x=0[/tex] is a horizontal line. This equation, in fact, is the x-axis.

These lines are perpendicular, not parallel.

HELP PLS find measure of w in this trapezoid

Answers

Answer:

m<w= 36°

Step-by-step explanation:

Step 1) Applying geometric and algebraic knowledge, the two angles to the left are both 90, and equal to 180. If you add those two angles and the 146°, you will be given 326 in total.

90+90= 180 +146 = 326

Step 2) With knowledge that the sum of all interior angles inside of a quadrilateral add up to 360, subtract 326 from this.

360-326=36

Final product: m<w=36°















I
Evaluate −4x+y when x=5/4 and y=1/5. Write your answer as a mixed number in simplest form.

Answers

Answer:

[tex]-4\frac{4}{5}[/tex]

Step-by-step explanation:

-4x + y

Plug in your values for x and y

-4 (5/4) + (1/5)

-20/4 + 1/5

-5 + 1/5

= - 4 4/5

Turn y=1/2x + 3/2 into standard form ​

Answers

Answer:  x - 2y = -3

=============================================

Work Shown:

y = (1/2)x + 3/2

2y = x + 3 .... multiply every term by the LCD 2

2y-x = 3 ... subtract x from both sides

-x+2y = 3

x-2y = -3 ... multiply both sides by -1

The last step is done so that the x coefficient is positive

The equation is in the form Ax+By = C with

A = 1B = -2C = -3

You could have your answer as -x+2y = 3, since that is also in standard form. But many math textbooks make A > 0.

5% commission rate of 14.98 is what?

Answers

Answer:

$0.75

Step-by-step explanation:

To find the answer we simply multiply the amount of money earned by the percentage.

So the total amount of money = $14.98

And the percentage = 5%

But I order to calculate this we must first turn the percentage into a decimal. To do this we decide the number of the percentage by 100

In this case that is 5/100=0.05

We can now multiply this by the amount of money to get 0.05*14.98=0.749

We then round our answer to two decimal places (because money can not go past two) to get $0.75

Individuals of the same approximate weight running 6 mph or 1 mile every ten minutes have a calorie use factor of 62% of their weight; i.E., calories burned = (weight)(0.62). If they run an 8-minute mile, the factor is 65%. A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?

Answers

Answer: He has used up 117 calories.

Step-by-step explanation:

Given, For 62% as factor, calories burned (E)= (weight)(0.62).

Also, if they run an 8-minute mile, the factor is 65%.  [given]

Then, calories burned (E)= (weight)(0.65). [65%=0.65]

Weight of man = 180 lb

Then, calories burned (E)= 180 x (0.65).

= 117

Thus , he burned 117 calories.

So, he has used up 117 calories.

For every 3 boys there is 5 girls. If there is 40 students in total. How many are boys?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15 boys

Step-by-step explanation:

3+5=8

40/8=5

3X5=15

what is the median of the data set {23 , 16 , 19 , 17 , 15 , 19 , 17 , 24 }

Answers

Answer:

7; 19; 24; 10; 17; 21; 6; 22; 5; 9

Arrange: 5; 5; 6; 7; 9; 10; 17; 19; 21; 22; 24

( 5+5+6+7+9+10+17+19+21+22+24 ) / 11

Mean = 145 / 11

Mean = 13,18

Mode = 5

(5 is the only value that appears most often)

Median = 10

Answer:

Step-by-step explanation: 119.5

What equation is equivalent to 5(2p - 6)= 40

Answers

A. 10p-30=40 would be the answer
First you simply both sides of the equation , add 30 to both sides, and divide both sides by 10. Then p=7
=2p-6=40/5
Divide 40 by 5 to get 8
= 2p-6=8
Move 6 with 8 then add them you will get 14
=2p=8+6
Divide both sides by 2
=2p=14
=p=14/2
Divide 14 by 2 to get 7
The final answer is
P=7

simplify the following​

Answers

(iii) = 23/2 or 11.5
(iv) = -15/2 or -7.5
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