Discussion
The area of a rectangular field is 48 m2 and one of its sides is 6 m. How long will a person take to cross this field diagonally at a speed of 20 m per minute?
Answer: C
The person takes 30 seconds.
The other side is \(48 \div 6 = 8\) m, and the diagonal follows from Pythagoras' theorem.
\[ \begin{aligned} \text{diagonal} &= \sqrt{6^{2} + 8^{2}} = \sqrt{100} = 10 \text{ m} \\ \text{time} &= \frac{10}{20} \text{ min} = 30 \text{ s} \end{aligned} \]
Walking along two sides (14 m) would take 42 seconds, and using one side of 8 m would give 24 seconds, so the other options do not match the diagonal route.
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