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