mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Advent calendar 2018
23 December
All 2018 advent puzzles
~
More information
Today's number is the area of the largest area rectangle with perimeter 46 and whose sides are all integer length.
Show answer
Hide answer
The largest rectangle will be 11 by 12 and have area
132
.
Tags:
2d shapes
,
geometry
,
area
,
perimeter
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
mean
area
chalkdust crossnumber
square grids
averages
sport
dodecagons
lines
complex numbers
3d shapes
symmetry
squares
determinants
sets
advent
factorials
matrices
partitions
wordplay
factors
folding tube maps
doubling
shape
grids
palindromes
addition
surds
crosswords
probability
digital products
unit fractions
pentagons
books
circles
integers
median
parabolas
christmas
hexagons
cube numbers
triangle numbers
clocks
chess
triangles
multiples
prime numbers
elections
pascal's triangle
tournaments
square numbers
dates
binary
products
proportion
ave
medians
geometry
square roots
taxicab geometry
xor
remainders
graphs
regular shapes
indices
cards
percentages
differentiation
planes
range
powers
neighbours
arrows
cryptic clues
routes
division
scales
crossnumbers
cubics
numbers
menace
lists
functions
colouring
dice
chocolate
tangents
calculus
spheres
the only crossnumber
money
decahedra
time
2d shapes
even numbers
consecutive integers
probabilty
games
coins
multiplication
number
rugby
prime factors
polynomials
floors
axes
polygons
balancing
geometric mean
sums
multiplaction squares
digits
algebra
cryptic crossnumbers
gerrymandering
perimeter
odd numbers
digital clocks
integration
consecutive numbers
trigonometry
quadrilaterals
perfect numbers
bases
combinatorics
tiling
quadratics
coordinates
sum to infinity
logic
shapes
volume
irreducible numbers
people maths
dominos
fractions
albgebra
sequences
star numbers
rectangles
speed
ellipses
angles
expansions
geometric means
means
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
polynomials
sum to infinity
palindromes
balancing
crosswords
quadratics
dates
products
chalkdust crossnumber
even numbers
tournaments
shapes
factorials
volume
quadrilaterals
lines
digital clocks
consecutive numbers
probability
money
trigonometry
square roots
means
prime factors
crossnumbers
books
unit fractions
multiplication
gerrymandering
dice
doubling
spheres
differentiation
geometry
percentages
graphs
lists
geometric mean
tiling
taxicab geometry
combinatorics
functions
expansions
sport
remainders
angles
hexagons
surds
polygons
symmetry
circles
multiples
scales
chocolate
integers
folding tube maps
mean
factors
speed
odd numbers
christmas
colouring
triangle numbers
cards
tangents
area
coordinates
elections
wordplay
shape
grids
perfect numbers
games
integration
determinants
squares
pascal's triangle
prime numbers
xor
perimeter
fractions
numbers
calculus
chess
rectangles
dodecagons
ellipses
time
ave
irreducible numbers
axes
parabolas
indices
algebra
routes
coins
cryptic crossnumbers
cube numbers
cryptic clues
geometric means
sums
medians
rugby
number
decahedra
the only crossnumber
sets
floors
menace
2d shapes
probabilty
range
cubics
partitions
logic
powers
multiplaction squares
pentagons
albgebra
digital products
triangles
complex numbers
3d shapes
addition
sequences
dominos
division
averages
neighbours
regular shapes
advent
square numbers
people maths
matrices
proportion
binary
bases
arrows
star numbers
median
clocks
square grids
planes
consecutive integers
digits
© Matthew Scroggs 2012–2026