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