The ratio of length to breadth of a rectangular lawn is 3 is to5 it cost Rs 3200 200 @ to Amita what would be the cost of developing the lawn at the rate of Rs 10 per square metre
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Cost of 2 m=1 m
Cost of 1 m= 1/2 m
Cost of 3200 m=(1/2 3200) m.
= 1600 m
According to problem,
Let the length be 3x and breadth be 5x
2(length +breadth) =1600 m
=> 2(3x+5x) = 1600 m
=> 2*8 x = 1600 m
=> 16x = 1600 m
=> x=(1600/16) m
=> x= 100m
Therefore, length=3x=(3100)m =300m
Breadth=5x=(5*100)m
=500m
= (300*500) Sq.m
Area of the rectangle= lb
= 15000 sq.m
1 Sq. m costs= Rs. 10
= Rs. 150000
15000 Sq. m costs= Rs. (15000*10)
Ans:- Rs. 150000
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