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 5 of 5.

Naveen kumar said:   1 decade ago
How did know perimeter?

Sindhu said:   1 decade ago
Why you did not convert 8 minutes to seconds?

Naresh said:   1 decade ago
160*3 = 480.160*2 = 320; 480*320 = 153600.

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

Basha said:   1 decade ago
@Sindhu.

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

= 12000*8/60.
= 1600.

Sonal said:   1 decade ago
Did not understand please explain in details.

D.sudhakar said:   1 decade ago
Why multiply 2(3x+2x)?

Shashi said:   1 decade ago
First we found distance = speed*time.

2(l+b) is the formula of perimeter of rectangle.
Which is the distance we found which is 1600.

Using perimeter formula we found l and b.
Then we found area of rectangle using l*b formula.


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