Question

What is the side length of the smallest square plate on which a 30 cm chopstick can fit along a diagonal without any​ overhang? The approximate side length of the square plate is black cm.

Answer 1

Answer: 21.21 cm

Explanation:

Given

length of diagonal on the square is 30 cm

Suppose a is the side length of the square

and length of diagonal is given as
`a√(2)\ units`

So,

`\Rightarrow a√(2)=30\\\\\Rightarrow a=(30)/(√(2))=21.21\ cm`

Thus, the side length of the square is 21.21 cm