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ꜱᴏʟᴠᴇ ᴛʜɪꜱ Qᴜᴇꜱᴛɪᴏɴ
Answers
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
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Answer:
100m
Step-by-step explanation:
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