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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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colouring
geometric means
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integers
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routes
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tournaments
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shape
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perimeter
indices
digital products
expansions
axes
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irreducible numbers
gerrymandering
star numbers
numbers
cube numbers
wordplay
crosswords
dodecagons
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taxicab geometry
scales
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integration
hexagons
parabolas
logic
the only crossnumber
spheres
fractions
factors
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cryptic clues
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consecutive integers
angles
cards
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consecutive numbers
chess
products
tiling
calculus
differentiation
sum to infinity
number
3d shapes
volume
advent
people maths
averages
cryptic crossnumbers
addition
geometry
time
sums
sport
determinants
median
cubics
range
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pentagons
prime numbers
grids
lines
algebra
tangents
games
combinatorics
2d shapes
christmas
folding tube maps
doubling
circles
digits
clocks
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symmetry
books
probability
medians
regular shapes
square numbers
sets
money
square roots
unit fractions
rectangles
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multiples
sequences
coins
planes
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squares
graphs
pascal's triangle
rugby
triangle numbers
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