2014 AMC 10B Problems/Problem 13
Problem
Six regular hexagons surround a regular hexagon of side length as shown. What is the area of ?
(Diagram Creds-DivideBy0)
Solution
We note that the triangular sections in can be put together to form a hexagon congruent to each of the seven other hexagons. By the formula for the area of the hexagon, we get the area for each hexagon as . The area of , which is equivalent to two of these hexagons together, is .
See Also
2014 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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