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