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Advent calendar 2022
1 December
All 2022 advent puzzles
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One of the vertices of a rectangle is at the point \((9, 0)\). The \(x\)-axis and \(y\)-axis are both lines of symmetry of the rectangle.
What is the area of the rectangle?
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The only way this is possible is if the rectangle is this square:
The area of this square is
162
.
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Most recent collections
Advent calendar 2023
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List of all puzzles
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even numbers
decahedra
volume
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determinants
parabolas
digital clocks
factors
multiples
dates
cube numbers
folding tube maps
geometry
irreducible numbers
prime numbers
axes
coins
crosswords
albgebra
median
consecutive numbers
chalkdust crossnumber
consecutive integers
games
mean
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tiling
coordinates
geometric means
taxicab geometry
chocolate
fractions
the only crossnumber
crossnumber
chess
cards
circles
star numbers
odd numbers
partitions
money
gerrymandering
bases
logic
perimeter
pascal's triangle
multiplication
triangle numbers
numbers
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remainders
sport
integration
squares
trigonometry
integers
products
menace
christmas
probability
functions
graphs
algebra
shape
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spheres
surds
sequences
binary
clocks
2d shapes
grids
expansions
perfect numbers
quadratics
indices
matrices
symmetry
range
3d shapes
digits
unit fractions
arrows
scales
palindromes
colouring
sums
angles
speed
dodecagons
wordplay
routes
sum to infinity
balancing
planes
shapes
lines
complex numbers
division
digital products
dice
proportion
people maths
cryptic crossnumbers
ellipses
calculus
number
polygons
differentiation
floors
combinatorics
regular shapes
cryptic clues
rectangles
hexagons
sets
books
crossnumbers
percentages
tangents
pentagons
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means
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tournaments
cubics
doubling
rugby
averages
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