Question

A rectangular field has its length and breadth in the ratio 5:3 .Its area is 3.75 hectares.The cost of fencing it at rupees 5 per metre is (a) rupees 3,000 (b) rupees 3,500 (c) rupees 4,000 (d) rupees 4,500
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Answer 1

Answer:

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

$x = \sqrt{2500}$

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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Answer 2

Answer:

c 4000

Step-by-step explanation:

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 = \sqrt{2500}x=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

Hope it will help you

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