# Solution to the [[Two Rectangles in a Square]] Puzzle +-- {.image} [[TwoRectanglesinaSquare.png:pic]] > The dots are equally spaced. What fraction of the square is shaded? =-- ## Solution by [[Area]] +-- {.image} [[TwoRectanglesinaSquareAnnotated.png:pic]] =-- As the dots are equally spaced, joining opposite dots divides the outer square into nine squares of equal size. The red corner triangles each halves its square, while the purple side triangles each quarters its square. The red and purple triangles together therefore comprise $3$ squares, meaning that the shaded region is $\frac{2}{3}$rds of the total square.