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 4 of 5.

Chandrika said:   1 decade ago
Why multipty 2(3x+2x)=1600?

Hema said:   1 decade ago
Sankar you are wrong, the formula for perimeter is 2(l+b) =1600.

Then subs the value for l and b which means 2 (3x+2x) =1600.

6x+4x=1600 then x=160.

Tapas sethy said:   1 decade ago
How length equal to 480 and breadth equal to 320?

Sathis said:   1 decade ago
Hi ashok just explain briefly.

How to apply in s=d/t.

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

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

Tejveer said:   1 decade ago
Why you multiply with 2 in 2(3x+2x) =1600 ?

ANJI said:   1 decade ago
How did you come to know thats it PERIMETER, please tell.

Ismail said:   1 decade ago
Speed of the cycling is 12 km/hr and we can finish 8 round at the level if speed but here given speed is km/hr.

So we change meter/minute 12* (1000/60) =200 then we find speed of cycling for one round at one minute.

So 200*8 =1600m is the perimeter of the park.

Abi said:   1 decade ago
How length equal to 480 and breadth equal to 320?


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