A symmetric tree has decorative lines of equal slope, and of lengths 11 and 13. What is the area ratio of green to red to brown?

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## Solution

Green : red : brown is 1331 : 528 : 338.

geometry puzzles

Categories

- Post author By Marshall W. Buck
- Post date December 19, 2023
- 1 Comment on Decorating the tree

- Tags area, proportion, triangle

## One reply on “Decorating the tree”

G=green area

R=red area

B= brown area

G+R is similar to triangle G

So G+R = (13/11)^2 G

Also easy is (G+R+B)/(G+R)= 13/11.

So G:G+R:G+R+B. = 11^3: 11*13^2: 13^3