Friday, April 15, 2011

Gridball

Here is todays puzzle. If you think you know the answer, please post it in the comments section.

Marci is playing a game called gridball. She throws a ball onto a grid with four shapes on it. If the ball lands in a shape or on one of the sides of a shape, she scores points equivalent to how many sides the shape the ball lands in has. If the ball lands in an overlap of two shapes or more, she scores points for all shapes the ball lands in. After each throw, shapes with 4 sides rotate 90 degrees counterclockwise around the origin, shapes with 5 sides rotate 180 degrees around the origin and shapes with 6 sides rotate 90 degrees clockwise around the origin. The shapes and the locations of their corners at the beginning are listed below.
Trapezoid: (-5, 4) (-1, 3) (1, -1) (-1, -4)
Square: (0, -1) (0, -7) (6, -7) (6, -1)
Pentagon: (-6, 0) (-2, -1) (2, -5) (1, -9) (-4, -6)
Chevron: (-2, 2) (1, 5) (5, 4) (6, 0) (3, -3) (2, 1)
Here are where her throws land:
1st (-4.8, -3.8)
2nd (0.6, -1.7)
3rd (-5.7, 3)
4th (5.7, 8.5)
5th (-6.1, -8.7)
6th (6.1, 7.4)
7th (-1.1, -1.5)
8th (5.8, -2.3)
9th (-2.5, -1)
10th (6.9, -0.2)
How many points does she score?


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