Question
The length of a rectangular garden is 32 metres and its
breadth is 16 metres. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden:Solution
Using formula, Area = lb & Area = a2 = (Diagonal2)/2 Area of the rectangular garden = 32 × 16 = 512 m2 = Area of the square garden Therefore, Side of the square garden = √512 m2 Therefore, diagonal of the square garden = √2 x side ⇒ √2 x √512 = √1024 ⇒ 32 m
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