FEATURED
Beautiful Geometry 1
Five Rectangles in a Square
A square is split into five rectangles with equal areas. What’s the area of the square?
SOLUTION
We have that
S_{PURPLE} + S_{GREEN} + S_{BLUE} = 3S_{ORANGE}.
Therefore, the length of the purple rectangle is 2 \times 3 = 6 and the side of the square is 6 + 2 = 8. Thus, the area of the square is 8 \times 8 = 64.
