Discussion
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m² and the short side is 30 m long. How much would the job cost?
Answer: B
Find the long side from the area, then the diagonal.
\[ \text{long side} = \frac{1200}{30} = 40 \text{ m} \]
\[ \text{diagonal} = \sqrt{40^{2} + 30^{2}} = \sqrt{1600 + 900} = \sqrt{2500} = 50 \text{ m} \]
\[ \text{fencing} = 40 + 30 + 50 = 120 \text{ m} \]
\[ \text{cost} = 120 \times 10 = \text{Rs. } 1200 \]
The 30–40–50 triangle is the 3–4–5 triple scaled tenfold, so the diagonal comes out whole.
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