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

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