Math, asked by Anonymous, 9 months ago

ᴘʟᴢ ʜᴇʟᴘ ᴍᴇ
ꜱᴏʟᴠᴇ ᴛʜɪꜱ Qᴜᴇꜱᴛɪᴏɴ​

Attachments:

Answers

Answered by rohithreddy2001
1

Answer

100 m, 45 m, 15 m.

Step-by-step explanation:

(i)

Let the breadth of the farm be 'x' metres.

Then the length of the farm = 2x + 10.

∴ Area of the farm = x(2x + 10)

= 2x² + 10x.

(ii)

Given that he dug a square of inside the farm, side of pond is (1/3) of breadth = (1/3) * x = (x/3).

∴ Area of pond = (x/3)²

= x²/9.

(iii)

Given that Area of farm is 20 times the area of pond.

⇒ 2x² + 10x = 20(x²/9)

⇒ 2x² + 10x = 20x²/9

⇒ 18x² + 90x = 20x²

⇒ -2x² = -90x

⇒ x=45

When x = 45:

Length = 2x + 10 = 100 m

When x = 45:

Side of pond = x/3 = 15.

Therefore:

∴ Length of the farm = 100 m.

∴ Breadth of the farm = 45 m.

∴ Side of the farm = 15 m.

Hope it helps

please mark it as brainliest.

Answered by PriyanshuDAV
2

Answer:

100m

Step-by-step explanation:

Mark me brainliest

Similar questions