Aptitude - Area - Discussion

Discussion Forum : Area - General Questions (Q.No. 1)
1.
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
15360
153600
30720
307200
Answer: Option
Explanation:

Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

Length = 480 m and Breadth = 320 m.

Area = (480 x 320) m2 = 153600 m2.

Discussion:
48 comments Page 3 of 5.

Bhagyashri said:   1 decade ago
1hr is converted in to minutes. i.e 1hr = 60min.

1km = 1000m.

12km = 12000m.

12km/hr = 12000/60.

Basha said:   1 decade ago
@Sindhu.

They are converted in minutes into seconds already in below step.

= 12000*8/60.
= 1600.

Fijo Francis said:   1 decade ago
Why we are not using 5/18 formula to convert into m/s?

Can any of you please explain me please ?

Naman Jain said:   8 years ago
12 km /hr --> to convert into m/s
12*(1000/(60*60))?

But in answer its 12*(1000/60) how?

Sandip mulmule said:   1 decade ago
means 3:2
(3*x)+(2*x)=1600
5(2x)=1600/5
2x=320
x=320/2
x=160
.: 3*160=480
.:2*160=320

Naveen said:   9 years ago
I clearly understand your explanation, which is help full for all. Thank you.

Gayu said:   9 years ago
@all.

2(3x + 2y) =1600 is a parameter of the rectangle so it uses here.

Subrata Mondal said:   4 years ago
Thank you so much for this explanation and this season is very helpful.
(4)

Sandip said:   1 decade ago
Why multiply x on l & b ; I am not understand tell me my friends.

Kavitha said:   1 decade ago
It is in the ratio of 3:2 so 160 x 3=480 and 160 x 2=320.


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