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.
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.
Rubel Hossen said:
7 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.
Soundarya said:
6 years ago
Why we are using perimeter, here? Please explain me.
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