Question 75
Carlitos has several pieces formed by four unit squares, shaped as an L:
He assembles bigger figures with these pieces, making them share one or more sides of the little squares. In the following example, the figure in the left was assembled by two pieces sharing a unit side. The figures are not allowed to have holes.
a) Draw a figure with perimeter $14$.
b) Describe how is it possible to obtain a figure with perimeter $2010$.
c) Is it possible to obtain a figure with odd perimeter? Justify your answer.
He assembles bigger figures with these pieces, making them share one or more sides of the little squares. In the following example, the figure in the left was assembled by two pieces sharing a unit side. The figures are not allowed to have holes.
a) Draw a figure with perimeter $14$.
b) Describe how is it possible to obtain a figure with perimeter $2010$.
c) Is it possible to obtain a figure with odd perimeter? Justify your answer.