Q. The length of a rectangular garden is 12 metres and its breadth is 5 metres. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden :
Answer: $latex 2\sqrt{30} m$
Notes: Area of the rectangular garden $latex = 12 \times 5 = 60 m^{2}$ Area of the square garden $latex = 60 m^{2}$ ∴ Side of the square garden $latex = \sqrt{60} m^{2}$ ∴ Diagonal of the square garden $latex = \sqrt{2}\times Side$ $latex = \sqrt{2}\times \sqrt{60} = \sqrt{120}= \sqrt{4\times 30}$ $latex = 2\sqrt{30}m$ Hence option [C] is the right answer.

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