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