Question

There are many different methods that can be used to find the area of a polygon. Part A: Connect the following points in order A(0, 7), B(3, 3), C(5, -5), D(-1, -2), E(-5, -4), F(-3, 4) ending back at the first point (A, B, C, D, E, F, A), so that you have a closed polygon. Part B: What is the area of the polygon created by the points in Part A? Explain how you arrived at your answer. Part C: Connect the following points in order A (2, 8), B (5, -4), C (1, -6), D (-2, -3), E (-8, -8), F (-5, 6) ending back at the first point (A, B, C, D, E, F, A), so that you have a closed polygon. Part D: Explain why the method you used for the polygon in Part B cannot be used for the polygon you created in Part C. Part E: Research Pick's Theorem and apply it to find the area of the polygon you created in Part C.

          There are many different methods that can be used to find the area of a polygon.

Part A: Connect the following points in order A(0, 7), B(3, 3), C(5, -5), D(-1, -2), E(-5, -4), F(-3, 4) ending back at the first point (A, B, C, D, E, F, A), so that you have a closed polygon.
Part B: What is the area of the polygon created by the points in Part A? Explain how you arrived at your answer.
Part C: Connect the following points in order A (2, 8), B (5, -4), C (1, -6), D (-2, -3), E (-8, -8), F (-5, 6) ending back at the first point (A, B, C, D, E, F, A), so that you have a closed polygon.
Part D: Explain why the method you used for the polygon in Part B cannot be used for the polygon you created in Part C.
Part E: Research Pick's Theorem and apply it to find the area of the polygon you created in Part C.

There are many different methods that can be used to find the area of a polygon.

Part A: Connect the following points in order A(0, 7), B(3, 3), C(5, -5), D(-1, -2), E(-5, -4), F(-3, 4) ending back at the first point (A, B, C, D, E, F, A), so that you have a closed polygon.
Part B: What is the area of the polygon created by the points in Part A? Explain how you arrived at your answer.
Part C: Connect the following points in order A (2, 8), B (5, -4), C (1, -6), D (-2, -3), E (-8, -8), F (-5, 6) ending back at the first point (A, B, C, D, E, F, A), so that you have a closed polygon.
Part D: Explain why the method you used for the polygon in Part B cannot be used for the polygon you created in Part C.
Part E: Research Pick's Theorem and apply it to find the area of the polygon you created in Part C.

Added by Russell K.

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