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 2d shapes, 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

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

Archive

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