Question

Can you cut a rectangle of sides L and B into 3 pieces only and join them together to form a regular Hexagon?

1) Always 2) sometimes 3) Never 4) None of these

Show by a diagram please.

Answer 1

See the diagram.

Sometimes and depends on the dimensions of the rectangle.

A rectangle of dim: 3 a/2  by √3 a can be cut into three pieces as shown and joined together to form a regular hexagon of side  a.

The condition:  Ratio of sides of rectangle :   √3/2