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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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square numbers
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quadrilaterals
angles
scales
squares
books
perimeter
colouring
regular shapes
pascal's triangle
functions
means
symmetry
chess
xor
consecutive integers
square roots
the only crossnumber
bases
sequences
coins
averages
taxicab geometry
axes
sums
wordplay
tournaments
multiples
gerrymandering
triangles
combinatorics
elections
grids
triangle numbers
crosswords
algebra
routes
binary
cryptic crossnumbers
products
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cards
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folding tube maps
multiplaction squares
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chocolate
balancing
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