the length and breadth of a rectangular piece of land are in the ratio of 5:3. if the total cost of fencing it at ₹24 per metre is ₹9600, find its length and breadth.
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Let the length be 5x and breadth be 3x.
Perimeter of the rectangle is 9600/24 = 400 metres.
And perimeter = 2(l+b) = 400
And this implies l+b = 200 m
And this implies 5x + 3x = 200
Which implies 8x = 200 nad x = 25.
There length = 5x = 5*25 = 125 metres
And breadth = 3x = 3*25 = 75 metres.
Mark me as brainliest if someone also answers this.
Perimeter of the rectangle is 9600/24 = 400 metres.
And perimeter = 2(l+b) = 400
And this implies l+b = 200 m
And this implies 5x + 3x = 200
Which implies 8x = 200 nad x = 25.
There length = 5x = 5*25 = 125 metres
And breadth = 3x = 3*25 = 75 metres.
Mark me as brainliest if someone also answers this.
AnkitRaj11:
could not understand better
Answered by
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Given :-
- The length and breadth of a rectangular piece of land are in the ratio of 5:3.
- Total cost of fencing it at ₹24 per metre is ₹9600.
To Find :-
- Length and Breadth.
Solution :-
Let,
- Length = 5x.
- Breadth = 3x.
Perimeter :-
➛ Total Cost/Cost per metre.
➛ 9600/24.
➛ 400.
Now, Formula Of Perimeter :- 2(l + b).
➛ 2(l + b) = 400.
➛ 2(5x + 3x) = 400.
➛ 2(8x) = 400.
➛ 16x = 400.
➛ x = 400 ÷ 16.
➛ x = 25.
Calculating Dimensions,
- Breadth = 5x = 125 metres.
- Length = 3x = 75 metres.
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