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Area of Quadrilaterals. by Jake Aronson, Ryan Listro, and Fred Guss. Parallelograms: Squares Rectangles Rhombus Other: Kites Trapezoids. What is a quadrilateral?. A quadrilateral is a four-sided plane. What is a parallelogram?.

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Area of Quadrilateralsby Jake Aronson, Ryan Listro, and Fred GussParallelograms:SquaresRectanglesRhombusOther: KitesTrapezoidsWhat is a quadrilateral?A quadrilateral is a four-sided plane.What is a parallelogram?A parallelogram is a four-sided plane that meets the following criteria: Opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Consecutive angles are supplementary Diagonals bisect each other What figures are parallelograms?Squares Rectangles Rhombuses Area of a ParallelogramTheorem 6.21: The area of a parallelogram is the product of base and its corresponding height. 4 8A=(8)(4)>>>>>>What other figures are quadrilaterals?Kites Trapezoids Postulate 22:The area of a square is the square of the length of one of its sides. Theorem 6.20: The area of a rectangle is the product of its base and height. Area of a Square and RectangleA=424A=(4)(8)484Trapezoid:Area=1/2(Height)(Base1+Base2) Rhombus and Kite: 1/2(Diagonal1xDiagonal2) Area of a Trapezoid, Rhombus, and Kite42A=(1/2)(2x4)3A=(1/2)(3)(2+4)42Helpful HintsArea of a Square… Area of a SQUARE=SideSQUARED Area of a Kite… Please DaD:(1/2)Product of DandD--(1/2)DaDExamples-SquareThe length of one of the sides is 3. What is the area of the square?9 units 2Examples-RectangleThe length of one of the sides is 4, and the other is 6. What is the area of the rectangle?24 units 2Examples-KiteThe length of one of the diagonals is 5, and the other is 8. What is the area of the kite?20 units 2Examples-RectangleThe height of the building is 350 feet and the width is 20 feet. What is the area of the building?7,000 feet 2Examples-RhombusThe length of one of the diagonals is 16, and the other is 8. What is the area of the rhombus?64 units 2Examples-TrapezoidThe length of one of the bases is 2, and the other is 4. The height is 8. What is the area of the trapezoid?24 units 2THE ENDWe hope you enjoyed our project… …and learned from it!!!

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