Area of Quadrilaterals

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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?.
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 Parallelogram
  • Theorem 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 Hints
  • Area 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 END
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