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(B) The area of the rectangular farm is given by $Area = 	ext{length} 	imes 	ext{width} = 1200 \ m^2$.Given the short side (width) is $30 \ m$, the

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$1200$

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(B) The area of the rectangular farm is given by $Area = 	ext{length} 	imes 	ext{width} = 1200 \ m^2$.Given the short side (width) is $30 \ m$, the length of the longer side is $\frac{1200}{30} = 40 \ m$.The diagonal of the rectangle forms a right-angled triangle with the sides. Using the Pythagorean theorem, the length of the diagonal is $\sqrt{30^2 + 40^2} = \sqrt{900 + 1600} = \sqrt{2500} = 50 \ m$.The total length of the fence required is the sum of one long side, one short side, and the diagonal: $40 + 30 + 50 = 120 \ m$.Given the cost of fencing is ₹ $10$ per $m$, the total cost of the job is $120 	imes 10 = ₹ 1200$.

$A$ rectangular farm has to be fenced on one long side, one short side, and the diagonal. If the cost of fencing is ₹ $10$ per $m$, the area of the farm is $1200 \ m^2$, and the short side is $30 \ m$ long, how much would the job cost? (in ₹)

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