2005 Alabama ARML TST Problems/Problem 11
Problem
In concave hexagon , , , and . Also, , , , and . Compute the area of the hexagon.
Solution
Join four such hexagons and let the points be labeled as shown below:
Since the sum of the angles in a hexagon is , .
Since and , is a square with a side length of .
Also, Since and , is a square with a side length of .
Therefore, .
See also
2005 Alabama ARML TST (Problems) | ||
Preceded by: Problem 10 |
Followed by: Problem 12 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |