Find the largest size of a bamboo that can be placed in a square of area 338 m2

13 m $13\sqrt{2}$m 26 m $26\sqrt{2}$m

26 m

Area of square = a2 = 338 a = \(\sqrt {338}\) = \(\sqrt {169 × 2 }\) = 13\(\sqrt {2}\) Diagonal of square = \(\sqrt {2}\) a = \(\sqrt {2}\) × 13\(\sqrt {2}\) = 26 m Largest size of a bamboo that can be placed in a square = length of diagonal = 26m