Aptitude - Area - Discussion
Discussion Forum : Area - General Questions (Q.No. 13)
13.
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Answer: Option
Explanation:
Let breadth = x metres.
Then, length = (x + 20) metres.
| Perimeter = |  |
5300 |  |
m = 200 m. |
| 26.50 |
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m.
Discussion:
14 comments Page 1 of 2.
Suman said:
3 years ago
Let, Length = x, then breadth = x-20,
So, Perimeter = 2(x+x-20) = 2(2x-20) = 4x-40,
ATQ,
(4x-40) * 26.50 = 5300,
106x - 1060 = 5300,
106x = 5300+1060,
106x = 6360,
x = 6360/106,
x = 60.
So, Perimeter = 2(x+x-20) = 2(2x-20) = 4x-40,
ATQ,
(4x-40) * 26.50 = 5300,
106x - 1060 = 5300,
106x = 5300+1060,
106x = 6360,
x = 6360/106,
x = 60.
(3)
Saumya said:
6 years ago
For those who are asking why perimeter.
As the question mentions fencing, and for fencing outer boundary is calculated i.e. perimeter.
As the question mentions fencing, and for fencing outer boundary is calculated i.e. perimeter.
(1)
Nayaki said:
1 decade ago
Please explain me in detail.
Avinash Sheshadri said:
1 decade ago
For 1m it costs rs.26.50 as given in the quest but fencin the whole plot it required Rs.5300.
26.50 - 1
5300 - ?
So perimeter is 200m n later normal method...hope u got it...
26.50 - 1
5300 - ?
So perimeter is 200m n later normal method...hope u got it...
Anjali said:
1 decade ago
I hope.
Area=total cost/rate not the perimeter.
Area=total cost/rate not the perimeter.
Muthu said:
1 decade ago
Its not area they mentioned as fencing so outer compound wall.
Prash said:
1 decade ago
Let length of plot = L meters, then breadth = L - 20 meters
and perimeter = 2[L + L - 20] = [2L - 40] meters
[2L - 40]*26.50 = 5300
[2L - 40] = 5300 / 26.50 = 200
2L = 240
L = 120 meters
and perimeter = 2[L + L - 20] = [2L - 40] meters
[2L - 40]*26.50 = 5300
[2L - 40] = 5300 / 26.50 = 200
2L = 240
L = 120 meters
NandhuBommi said:
1 decade ago
@prash
Hi prash u r wrong... the mistake u done is in calculating perimeter.. It is 2[L+L-20]=2[2L-20] = 4L-40 meters
so,
[4L - 40]*26.50 = 5300
[4L - 40] = 5300 / 26.50 = 200
4L = 240
L = 240/4= 60 meters. small multiply mistake leads to diff solutions ... Be careful..
Hi prash u r wrong... the mistake u done is in calculating perimeter.. It is 2[L+L-20]=2[2L-20] = 4L-40 meters
so,
[4L - 40]*26.50 = 5300
[4L - 40] = 5300 / 26.50 = 200
4L = 240
L = 240/4= 60 meters. small multiply mistake leads to diff solutions ... Be careful..
Stalkerprice said:
1 decade ago
Calculate the perimeter by dividing 5300 by 23.50 then you can easily calculate breadth and then add 20 to breadth. Thats your answer.
Shruti said:
8 years ago
Why we are taking perimeter?
That is formula for area.
That is formula for area.
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