length and breadth of a rectangular field are in the ratio 5 and 3 if perimeter of the field is 440 metre then find the cost of grasping it at the date of 2.6 per square metre
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Answer:
Let length =5x and breadth =3x
∴ Area = length × breadth
=5x×3x=15x
2
Cost of cultivating 1 square meter =25 paise
∴ Cost of cultivating 15x
2
square meter =25×15x
2
=375x
2
paise= Rs.
100
375
x
2
Given, Rs.
100
375
x
2
= Rs. 6000
⇒x
2
=
375
6000×100
⇒x
2
=1600
⇒x=40
∴ length =5×40=200 m
and breadth =3×40=120 m
Since, perimeter =2( length + breadth)
=2(200+120)
=2(320)=640 m
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