Question 141
Let $n \geq 1$ be a natural number. A regular $4 n$ corner is somehow broken down into a finite number of parallelograms.
a. Prove that at least one of the parallelograms in the decomposition is a rectangle.
b. Find the sum of the areas of all rectangles in the decomposition.
a. Prove that at least one of the parallelograms in the decomposition is a rectangle.
b. Find the sum of the areas of all rectangles in the decomposition.