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Advanced Geometry Introduction to Area and Perimeter Name: _________________________________ Perimeter: The distance around a closed plane figure. Area: The number of non-overlapping unit squares that will exactly cover the inside of a closed plane figure. (It does not need to be a whole number.) "Sum of Areas" Postulate: (Simple idea used a lot) ► Item #1: If a figure is formed by two non-overlapping regions A and B, then the area of the overall figure is simply the area of A added to the area of B. Rectangles Perimeter = Area = **Assume all angles appearing to be right angles are right angles. [EX 1] Perimeter = _________ Area = _________ Perimeter = _________ Area = _________ [EX 2] ► Item #2: Triangles Area = [EX 1] [EX 2] [EX 3] Perimeter = __________________ Area = __________________ Perimeter = __________________ Area = __________________ Perimeter = __________________ Area = __________________ ► Item #3: Parallelograms Area = [EX 1] What is the area and perimeter of the parallelogram below? (EXACT answers please) [EX 3] What is the area and perimeter of the parallelogram below (EXACT answers please.) [EX 2] [EX 4] What is the area and perimeter of the parallelogram below (EXACT answers please.) What is the area and perimeter of the parallelogram below (EXACT answers please.) ► Item #4: Trapezoids Area of Trapezoid = ** Let b2 = x + b1 + y [EX 1] [EX 2] [EX 3] [EX 4] ► Item #5: Kites ** Diagonals of kites 1.) One bisects the other (but not both) 2.) Intersect to form right angles 3.) Bisect the angles of the kite Area = [EX 1] Find the EXACT area of the kite below. [EX 2] [EX 3] Find the EXACT area of the kite below. Find the EXACT area of the kite below. ► Item #6: Rhombuses ** Diagonals of rhombuses 1.) Bisect each other 2.) Intersect to form right angles 3.) Bisect the angles of the rhombus Area = [EX 1] Find the area of the rhombus with diagonals of length 18 and 12 respectively. [EX 2] Find the area of the rhombus below. [EX 3] Find the area of the rhombus pictured below. [EX 4] Find the area of the rhombus pictured below.