Manvinder rides along the boundary of a rectangular park at the rate of 12 km/hr and completes one f

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27 Jan 2016 Area

Manvinder rides along the boundary of a rectangular park at the rate of 12 km/hr and completes one full round in 15 minutes. If the length of the park is 4 times its breadth, the area of the park is

OPtion

1) 360000 m^2
2) 48000 m^2
3) 3600 m^2
4) 480 m^2
5) 72000 m^2
6) 7200 m^2
7) 720 m^2
8) 480000 m^2
9) 36000 m^2
10)None of these

Solution

Perimeter = Distance traveled in 15 minute
= 12000 * 15/60 m
= 3000 m
Let breadth = x metres.
Then length = 4x metres
Therefore 2 (x+4x) = 3000
of x = 300
There breadth = 300 m and length = 1200 m
Area = 300*1200 = 360000 m^2
Option 1)

Correct Option: 1 Best Solution (12)

harsh dhir   8 years AGO

Speed=12 km/hr
time taken=15 minutes=1/4 hour
distance travelled=12/4=3 km
this distance is equal to perimeter of rectangle.
perimeter of rectangle=2(l+b)
Length of the rectangle=4 b
2(4b+b)=3000 m
b=300 m, l=4*300=1200 m
Area of rectangle=l*b=1200*300=360000 m^2

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PIYUSH KUMAR   8 years AGO

speed =12km/h
time= 15minute
Distance=Speed*Time
D=12*15/60
=3km
Now Let width= X than length = 4X
so perimeter of rectangle = 2(L+w) => 2(4w+w) => 10w
3 = 10w
w = .3km = .3*1000 = 300m
so Length = 4 w = 4* 300 =1200
Now Area of rectangle = L * W
= 1200 * 300 =360000 m^2

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SHUBHAM   8 years AGO

time=1/4 hr
speed=12 kmph
distance=speed*time
=>distance=3km
now perimeter=2(length+breadth)
breadth=length/4
=>length=4*breadth
hence,2*(4*breadth+breadth)=3km
=>breadth =3/10 km=300m
and length =4*(3/10)km=12/10km=1200m
hence area =length*breadth
=>area =300*1200
360000m^2

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MRITUNJAY   8 years AGO

distance of park is 12*1/4=3km=3000m
2*(4x+x)=3000
x=300m
area =1200*300=360000m^2
option 1

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NIKHIL JAIN   8 years AGO

In 15 minutes Distance covered= 3km= 3*1000m
But length=4*breadth
let x= breadth
length=4x
Perimeter=10x=3000
x=300m
length= 1200m
Area= l*b= 300*1200= 360000m^2

Like? Yes (1) | No   

Devendra Marghade   8 years AGO

If breadth=x km. ,then length=4x km.
Distance covered in one full round=Perimeter=2(x+4x)=10x which is distance covered in 15 min. or 1/4 hr @ 12 Km/hr=12/4=3 Km.
So 10x=3, x=3/10 km =3*1000/10=300 m.
So area of rectangular park=length*breadth=4x*x=4*300*300=360000 sq.m.
Option 1)

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Arun Maharana   8 years AGO

12km/hr in 15 mins =3km
2(l+b)=3000mtr
l+b=1500
but given length is 4times than breadth
l=4b
=>5b=1500
=>b=300
l=1200
area =l*b=360000mtrsq

Like? Yes (1) | No   

satish ojha   8 years AGO

length x , breadth 4x
perimeter =10x
10 x = 12*(5/18)*15*60=3000
x=300
4x=1200
area =360000m^2

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Abhineet kumar   8 years AGO

v=12*(5/18)=10/3
s=10/3*15*60=3000m
let breadth is b
so length is 4b
perimeter is 2(l+b)=3000
2(b+4b)=3000
b=300
length=1200
area=300*1200=360000m^2

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ayushi   8 years AGO

area= length*breadth =
=l=1200
b=300
l*b=360000

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vineesha p   8 years AGO

v=12kmph
t=15minutes =1/4 hr
distance(S) = vel*time = 3 km
he ran across circumference 2(l+b)=3km
l=4b
2(5b)=3
b=0.3
therefore, area l*b=4b*b=4(0.3)*(0.3)=0.36km^2=0.36(1000)^2 =360000m2

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Anurag Rastogi   8 years AGO

length = 4 breadth
total distance = 2(l+b)
speed = distanve/time
change km in m and minutes in hour.
area = length x breadth

Like? Yes (1) | No (1)