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Puzzles
Showing puzzles tagged "pentagons".
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14 December
All 2022 advent puzzles
~
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Holly draws a line of connected regular pentagons like this:
She continues the pattern until she has drawn 204 pentagons. The perimeter of each pentagon is 5. What is the perimeter of her line of pentagons?
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The two pentagons at the end of the pattern each contribute 4 units to the permimeter. The remaining 202 pentagons each contribute 3 units to the perimeter. This gives a total perimeter of 2×4+202×3=
614
.
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pentagons
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doubling
number
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time
speed
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proportion
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complex numbers
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odd numbers
percentages
neighbours
parabolas
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symmetry
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functions
integration
polynomials
unit fractions
games
coins
arrows
chalkdust crossnumber
shape
scales
consecutive numbers
sum to infinity
ave
sequences
2d shapes
determinants
pentagons
chocolate
dominos
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consecutive integers
hexagons
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