please tell me the answer to my question
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75000/100=750m is the perimeter.
P = 2(l+b) = 750 = 2(11x+4x) = 2*15x =30x
x = 750/30=25
Length is 11*25=275m
Breadth is 4*25=100m
P = 2(l+b) = 750 = 2(11x+4x) = 2*15x =30x
x = 750/30=25
Length is 11*25=275m
Breadth is 4*25=100m
SuhaniM:
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Answered by
1
given the length and breadth of the rectangular plot in the ratio 11 : 4
let the length and breadth of the rectangular plot be 11x and 4x respectively.
according to the question, the cost of fencing the rectangular plot at the rate of rs 100 is rs 75000.
therefore the perimeter of the rectangular plot = 75000/100
= 750m
we know the formula for the perimeter of a rectangle. that is 2 ( l + b )
>> 2 ( l + b ) = 750m
>> 2 ( 11x + 4x ) = 750m
>> 11x + 4x = 750/2
>> 15x = 375
>> x = 375/15
>> x = 25m
hence, the dimensions of the rectangular plot are :-
◾ length = 11x = 11 × 25 = 275m
◾ breadth = 4x = 4 × 25 = 100m
VERIFICATION :-
perimeter of the rectangular plot = 2 (l + b)
= 2 ( 275 + 100 )
= 2 × 375
= 750m
cost of fencing the rectangular plot at the rate of 100 per m = 750 × 100
= rs 750000
hence verified.
Cheers!!!
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