The length & breadth of a rectangular field are in the ratio 6:4
Find length and breadth if the cost of fencing the field is at the rate
of Rs 80 per metre is Rs 16,000
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The length & breadth of a rectangular field are in the ratio 6:4
Find length and breadth if the cost of fencing the field is at the rate
of Rs 80 per metre is Rs 16,000
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Given:-
To Find:-
Formula Used:-
Solution:-
Let the Length and Breadth be 6x and 4x respectively.
Using Formula,
[tex]\sf :\implies Perimeter \:of \: Rectangle = 2(l+b)[/tex]
Putting Values,
[tex]\sf :\implies Perimeter \:of \: Field = 2(6x+4x)[/tex]
[tex]\sf :\implies Perimeter \:of \: Field = 2\times 10x[/tex]
[tex]\sf :\implies Perimeter \:of \: Field = 20x[/tex]
Now,
[tex]\sf :\implies \:Cost\: of \:Fencing = Perimeter \:of \:field \times Rate\: of \:fencing[/tex]
Putting values,
[tex]\sf :\implies \:16,000 = 20x \times 80[/tex]
[tex]\sf :\implies \:1,600x = 16,000[/tex]
[tex]\sf :\implies \:x = \dfrac{16,000}{1,600}[/tex]
[tex]\sf :\implies \:x = \dfrac{160}{16}[/tex]
[tex]\sf :\implies {\underline{x = 10}}[/tex]
Now,
Hence The Length and Breadth of the rectangular field is 60m and 40m respectively.
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