mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Equal lengths

The picture below shows two copies of the same rectangle with red and blue lines. The blue line visits the midpoint of the opposite side. The lengths shown in red and blue are of equal length.
What is the ratio of the sides of the rectangle?

Show answer

If you enjoyed this puzzle, check out Sunday Afternoon Maths LXIV,
puzzles about rectangles, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

combinatorics partitions averages pentagons percentages unit fractions tangents polygons geometry division perfect numbers dice spheres dominos remainders means lines quadratics products cards proportion tiling graphs powers books menace axes expansions even numbers money chess squares numbers grids shapes cryptic clues integers prime numbers sums addition the only crossnumber sets median advent surds cube numbers multiples cubics hexagons dates square roots binary doubling regular shapes digital clocks square numbers medians scales coins volume multiplication clocks crosswords area taxicab geometry games algebra trigonometry number mean logic bases factorials chalkdust crossnumber range consecutive numbers christmas calculus odd numbers arrows 2d shapes rugby perimeter ellipses square grids sport indices balancing coordinates crossnumbers time planes albgebra elections floors tournaments sum to infinity polynomials probabilty pascal's triangle angles probability consecutive integers determinants triangle numbers shape decahedra cryptic crossnumbers quadrilaterals people maths routes differentiation dodecagons fractions speed chocolate rectangles grids parabolas complex numbers ave neighbours circles integration symmetry gerrymandering wordplay 3d shapes star numbers matrices digital products irreducible numbers colouring factors folding tube maps triangles geometric means geometric mean sequences palindromes digits functions numbers

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025