Question

The length and breadth of a rectangular field are in the ratio 5:3. The cost of fencing the field at the rate of Rs 75 per metre is Rs 60000. What are the dimensions of the field?​

Answer 1

Step-by-step explanation:

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