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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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irreducible numbers
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fractions
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binary
tiling
median
consecutive numbers
tournaments
algebra
odd numbers
symmetry
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mean
averages
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sum to infinity
graphs
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time
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factors
proportion
sets
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hexagons
even numbers
folding tube maps
balancing
square roots
pascal's triangle
factorials
crossnumber
money
square numbers
digits
geometry
bases
complex numbers
sums
coins
surds
cube numbers
prime numbers
3d shapes
cards
2d shapes
christmas
elections
chess
speed
star numbers
multiples
colouring
taxicab geometry
coordinates
unit fractions
books
division
decahedra
integers
products
dodecagons
consecutive integers
integration
ave
polygons
calculus
games
chalkdust crossnumber
angles
numbers
tangents
digital clocks
logic
sequences
matrices
triangle numbers
spheres
clocks
rectangles
partitions
determinants
perimeter
functions
dice
circles
wordplay
digital products
albgebra
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volume
remainders
scales
axes
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routes
ellipses
parabolas
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regular shapes
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