The length and breadth of a rectangular piece of land are in the ratio 5:2. If the total cost of fencing it at Rs 12.5 per meter is Rs 25000, what is its length and breadth?
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Answers
Answered by
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Ratio of length to breadth = 5:2 ( given)
So, If length of the field = 5x m , breadth = 2x m
So, the total length of fencing ( perimeter of the field) = 10x + 4x = 14x m . . . . .(1)
Since Rs 12.5 is the cost of 1 m fencing
=> Rs25,000, spent for=(25000/12.5) m fencing
= (25000 x 10 ) / 125
= 200 x 10
= 2000 m . . . . .(2)
By (1)&(2)
14x = 2000
=> x = 2000/14 = 1000/7
=>lengthof the field= 5x=5*1000/7 = 5000/7 m
& breadth = 2x = 2*1000/7= 2000/7 m
Answered by
1
GIVEN
- Ratio of length & breadth = 5:2
- Total cost of fencing = Rs.25000
- Rate of fencing = Rs.12.50 per m
SOLUTION
Let Say
- Length of field = 5x
- Breadth of field = 2x
Perimeter of rectangular field = 2(Length+Breadth)
2(5x+2x) = 25000/12.50
2(5x+2x) = 2000
7x = 1000
x = 1000/7
★ So the field is 5000/7 m long and 2000/7 m broad
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