FEATURED

Beautiful Geometry 1

Puzzle Prime April 25, 2023

0 Comments

Section: School Category: Mini Course

Tags: Featured, Geometry

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 $8 \times 8 = 64$ .

Five Rectangles in a Square

Puzzle Newsletter