Solve any one of the following sub-questions.03i Mr. Dinesh owns a rec

1.	Solve any one of the following sub-questions.03i Mr. Dinesh owns a rectangular agricultural farm at village Talvel. The length of thefarm is 10 metre more than twice the breadth. In order to harvest rain water, he dug asquare shaped pond inside the farm. The side of the pond is g of the breadth of thefarm. The area of the farm is 20 times the area of the pond. Find the length andbreadth of the farm and side of the pond.
Answer» Let length and breadth of farm be L and B resp. According to ques, we are given L = 2B + 10 Area of farm = L * B or (2B + 10) * B Area of farm = B * (2B + 10) Side of square pond is given to be 1/3 of breadth of farm which is, Side = 1/3 B Area of square pond will be = Side² i.e. (1/3 B)² Area of pond = 1/9 B² Now it is given, area of farm = 20 x area of pond So, B * (2B + 10) = 20 x 1/9 B² 2B + 10 = 20/9 B 20/9 B - 2B = 10 20/9 B - 18/9 B = 10 2/9 B = 10 B = 45m So, L = 2(45) + 10 L = 100m and Side = 1/3 (45) Side = 15m Therefore, L and B are 45 and 100 of farm, and Side of pond is 15m

Solve any one of the following sub-questions.03i Mr. Dinesh owns a rectangular agricultural farm at village Talvel. The length of thefarm is 10 metre more than twice the breadth. In order to harvest rain water, he dug asquare shaped pond inside the farm. The side of the pond is g of the breadth of thefarm. The area of the farm is 20 times the area of the pond. Find the length andbreadth of the farm and side of the pond.

Answer»

Let length and breadth of farm be L and B resp.

According to ques, we are given

L = 2B + 10

Area of farm = L * B

or (2B + 10) * B

Area of farm = B * (2B + 10)

Side of square pond is given to be 1/3 of breadth of farm

which is, Side = 1/3 B

Area of square pond will be = Side²

i.e. (1/3 B)²

Area of pond = 1/9 B²

Now it is given, area of farm = 20 x area of pond

So,

B * (2B + 10) = 20 x 1/9 B²

2B + 10 = 20/9 B

20/9 B - 2B = 10

20/9 B - 18/9 B = 10

2/9 B = 10

B = 45m

So, L = 2(45) + 10

L = 100m

and Side = 1/3 (45)

Side = 15m

Therefore, L and B are 45 and 100 of farm, and Side of pond is 15m