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not too hard...2 taken from an AMATYC test...

 

1) in isosceles triangle ABE with base AB, AB=10 and BE=13. Square ABCD intersects triangle ABE at points F and G. Find the area common to the interiors of the square and the triangle.

 

2) In pentagon AMTYC, AC=MT=10, YT=CY=20, angle A = angle M = 135 degrees, and angle Y = 150 degrees. Find the area of the pentagon to the nearest square unit.

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