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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 :
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- 2√30 m
- √13 m
- 13 m
- 8√15 m
- 2√30 m
Correct Option: A
Using Rule 9 and 10,
Area of the rectangular garden = 12 × 5 = 60 m²
= Area of the square garden
∴ Side of the square garden = 60² m
∴ Diagonal of the square garden = 2 × side
= √2 × √60 = √120 = √4 × 30 = √230m
