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From one corner diagonally to the opposite corner produces two right triangles with side lengths 4 inches and 8 inches, and hypotenuse 4 (sq rt 5) inches, and area of 16 square inches.

Drawing diagonals from both sets of opposite corners produces four isosceles triangles, two with bases of 8 inches/height 2 inches and two with bases of 4 inches/ height 4 inches, all with the same area of 8 square inches.

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Q: If you divide a 4 in by 8 in rectangle from corner to corner what new shapes do you get?
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