12-2 Area of Triangles and Quadrilaterals 1. Determine the area of the triangle. Calculate the area of each triangle, utilizing your knowledge of Geometric Mean. 2. 7. Determine the area of the parallelogram. Calculate the area of the trapezoids below. Round your answer to the nearest hundredth, if necessary. 8. 3. 9. 4. Calculate the area of a triangle with the following coordinates: (-7, 3), (0, 3), and (-2, -6). 5. Calculate the area of a triangle enclosed by the given equations. y = x + 2, y = 2, x = 6 10. The area of a rhombus is 288 in2. If one of the diagonals is double the length of the other, what are the lengths of both diagonals? 11. The perimeter of a rhombus is 68 cm and one diagonal is 30 cm. Find the area of the rhombus. 12. The figure below is a kite. Round all answers to the nearest hundredths, if necessary. a. Find the length of each diagonal. 6. Calculate the area of the parallelogram created by the following coordinates: (2, -3), (2, 1), (5, 0), (5, 4) b. Find the perimeter of the kite. c. Find the area of the kite. 12-2 Area of Triangles and Quadrilaterals 1. Determine the area of the triangle. Calculate the area of each triangle, utilizing your knowledge of Geometric Mean. 2. 7. Determine the area of the parallelogram. Calculate the area of the trapezoids below. Round your answer to the nearest hundredth, if necessary. 8. 3. 9. 4. Calculate the area of a triangle with the following coordinates: (-7, 3), (0, 3), and (-2, -6). 5. Calculate the area of a triangle enclosed by the given equations. y = x + 2, y = 2, x = 6 10. The area of a rhombus is 288 in2. If one of the diagonals is double the length of the other, what are the lengths of both diagonals? 11. The perimeter of a rhombus is 68 cm and one diagonal is 30 cm. Find the area of the rhombus. 12. The figure below is a kite. Round all answers to the nearest hundredths, if necessary. a. Find the length of each diagonal. 6. Calculate the area of the parallelogram created by the following coordinates: (2, -3), (2, 1), (5, 0), (5, 4) b. Find the perimeter of the kite. c. Find the area of the kite.
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