Question

Mr Dinesh owns an agricultural Farm at village Talvel. The<br />length of the farm is 5 meter more than thrise the breadth<br />In order to harvest rain water, he dug a square shape<br />pond inside the farm. The side of Pond is 1/5<br />of the breadth of the farm. The area of the farm is<br />20 times the area<br />of the pond. Find the length and breadth of the farm and of the pond​

Answer 1

$\huge\mathfrak{Answer 》}$

Step-by-step explanation:

Let l be the length of the farm and b be the breadth.

Then, according to the question,

l=10+2b

Let x be the side of the pond, then,

x=

3

1

b

The area of the square pond is,

A=(

3

1

b)

2

A=

9

1

b

2

The area of the farm is,

A=l×b

A=(10+2b)(b)

A=10b+2b

2

According to the question,

Areaofthefarm=20(areaofthepond)

10b+2b

2

=20(

9

1

b

2

)

90b+18b

2

=20b

2

2b

2

−90b=0

2b(b−45)=0

2b=0

b=0

Or,

b=45

Since the breadth cannot be 0, so the breadth of the farm is 45m. Then, the length is,

l=10+2(45)

l=100m

Therefore, the length of the farm is 100m and the breadth of the farm is 45m.