A rectangular field has its length and breadth in the ratio 5:3.It's area is 3.75 hectares.The cost of fencing it at Rs.5 per meter is a)4000 b)400 c)500
Answers
Answer:
Let the length and breadth of rectangle field is 5x and 3x respt and area =3.75 hectars
We know that 1 hectare=10000 sq metes
Then area 37500 sq m
Then Area 5x×3x=37500
⇒15x
2
=37500
⇒x
2
=2500
⇒x=50
Then length =5×50=250 m and breadth =3×50=150 m
Than perimeter of rectangle field =2(L+B)=2(250+150)=800 m
Then cost of fending =800×5=4000 Rs
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Answer:
Step-by-step explanation:
I hectare =10000m^2
3.75 hectare = 37500m^2
Ratio of length and breadth is 5:3
Let their common factor be x
then length =5x and breadth = 3x
Area of rectangular field is length ×breadth
37500=5x×3x
37500=15x^2
x^2=37500/15
x^2= 2500
x=50m
Length =5x = 5×50=250m
Breadth =3x=3×50=150m
Total perimeter = 2(l+b)
=2(250+150)
=2(400)
= 800m
Cost of fencing per meter = Rs. 5
Total perimeter = 800m
Total cost of fencing = 800×5
= Rs.4000
Option C is correct
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