1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
igor_vitrenko [27]
2 years ago
6

The ratio between the length and the breadth of the park is 3:2. if a man cycling along the boundary of the park at the speed 12

km/hr completes one round in 8 minutes then what is the area of the park(in sq.m).
A. 142000
B. 112800
C. 142500
D. 153600
explain your solution.
solve step by step in the answer please!
Mathematics
2 answers:
Ilia_Sergeevich [38]2 years ago
4 0
D is answer.
Perimeter is 2x +3x +2x + 3x = 10x where x is unknown factor of distance.
So P = 10x
Velocity is 12 km/hr = .2 km/min
P =1.6 Km = 10x
x= .16 Km 3x = .48 km, 2x=.32 km
Area = .48 X .32 Km^2
= 153600 m^2
lisabon 2012 [21]2 years ago
4 0
153,600 m^2

From the information given we can make 2 equations:
l=3/2b (l=length, b=breadth) {we know that the ratio of length to breadth is 3:2, meaning that the length is 3/2 longer than the breadth}
2l+2b=p (p=perimeter) {This is from the equation for perimeter of a rectangle}

To use these equations, we need to find the perimeter of the rectangle, which we can do by using the speed and time given here. Looking at the units in the problem we can see that they do not match (hr and min) so we need to do a conversion. The easiest way to convert this is to change minutes into hours, which can be done by dividing by 60.
8min/60=2/15 hours {math simplified here, when I divide by 60 what I am really doing is multiplying by 1 hour and dividing by 60 minutes}

Now that our units match, we can find the perimeter. This can be done by setting the speed equal to some distance over the amount of time it took.
12km/hr= p /(2/15hr)
p=1.6 km

Now that we have the perimeter, we can find the length and breadth. First, it is important to notice that the answer is supposed to be in m, not km, so that can be changed first.
p=1.6km=1600 m { to change from km to m multiply by 1000, because there are 1000 m in a km}

Now I will put this into the second equation giving us 2 equations with the same 2 variables.
l=3/2b
2l+2b=1600

These two can be solved together because the first equation already has l isolated. By taking the value of l from the first equation (3/2b) and substituting it into the second equation b can be found.
2(3/2b)+2b=1600
3b+2b=1600
5b=1600
b=320 m

This can then be substituted back into one of the original 2 equations to find l.
l=3/2(320)
l=480 m

Finally, both of these values can be put into the area equation for a rectangle (area=length*breadth).
480m*320m=153,600 m^2
You might be interested in
Is finding a car's depreciation over a 10 year period considered as univariate or bivariate?
g100num [7]

Determining a car's depreciation over a ten year period is considered a bivariate.

<h3>What is a bivariate?</h3>

A Bivariate data is made up of two variables that are observed against each other. In determining the deprecation of a car, the cost of the car is observed against the passage of time and the depreciation factor.  

To learn more about depreciation, please check: brainly.com/question/25552427

#SPJ1

8 0
2 years ago
Fran is making a punch for her birthday party. She needs 4 1/5 liters of juice for the punch, but she only has 1 4/5 liters. How
labwork [276]

Answer: she needs 2 2/5 liters

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Which place value first determines which of the numbers 35.1447 or 35.1457 is the larger number?
lianna [129]

Answer:

thousandths

Step-by-step explanation:

It is because one of the numbers is lower then the other so in this case 35.1457 is the larger number.

5 0
2 years ago
Write the equation of a line in the slope-intercept form that has a slope of 4 and contains the point (4, 12).
vekshin1

Answer:

y=4x-4

Step-by-step explanation:

Hi there!

we are given that a line has a slope of 4 and it contains the point (4, 12)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately substitute it into the formula.

Replace m with 4 in y=mx+b:

y=4x+b

Now we need to find b

As the equation passes through the point (4, 12), we can use it to help solve for b

Substitute 4 as x and 12 as y:

12 = 4(4) + b

Multiply

12 = 16 + b

Subtract 16 from both sides

-4 = b

Substitute -4 as b

y = 4x - 4

Hope this helps!


Topic: Finding the equation of the line

See more on this topic here: brainly.com/question/27539102

7 0
2 years ago
How the points are placed in graphing linear inequalities?
Yanka [14]

Answer:

Plot the line y = 2x - 3 and the portion above the line will satisfy the inequality.

5 0
3 years ago
Other questions:
  • Next week your math teacher is giving a chapter test. the test will consist of 35 questions. some problems are worth 2 points in
    9·1 answer
  • Os numeros 5, (3x-1) (3x+2) nessa ordem formam uma PA. Calcule o valor de x
    13·1 answer
  • 13 of the 18 players on the varsity soccer team are seniors. What percent of the players on the team are not seniors?
    11·2 answers
  • Sell more than you buy and prosper. If you export more than you import, you will be rich.
    12·1 answer
  • Use algebra ,What number exceeds y by 4 less than x?
    6·1 answer
  • Is there only one way to create a factor tree? Explain.
    11·1 answer
  • What two numbers multiply to 5 and add up to -6
    9·1 answer
  • I need help with this.​
    6·2 answers
  • An art teacher has 18 pictures to hang on the wall.
    10·2 answers
  • Help&amp;EXPLAIN <br><br> Don’t use for points <br> I’ll report
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!