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8-5 Areas of Quadrilaterals

8-5 Areas of Quadrilaterals. 8-5 Areas of Quadrilaterals. From the Triangle Area Formula, area formulas for trapezoids, parallelograms and quadrilaterals with perpendicular diagonals can be deduced. 8-5 Areas of Quadrilaterals. 8-5 Areas of Quadrilaterals. Area of a Trapezoid

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8-5 Areas of Quadrilaterals

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  1. 8-5 Areas of Quadrilaterals

  2. 8-5 Areas of Quadrilaterals • From the Triangle Area Formula, area formulas for trapezoids, parallelograms and quadrilaterals with perpendicular diagonals can be deduced.

  3. 8-5 Areas of Quadrilaterals

  4. 8-5 Areas of Quadrilaterals Area of a Trapezoid Find the altitude of TRAP. Divide TRAP into two triangles. Calculate the area of each triangle.

  5. 8-5 Areas of Quadrilaterals Area of a Trapezoid Area of DTRP = ½ (13)(6) Area of DARP = ½ (8)(6) Area of TRAP = Area of DTRP + DARP = ½ (13)(6) + ½ (8)(6) = ½ (6) (13 + 8) = 63 units2

  6. 8-5 Areas of Quadrilaterals Trapezoid Area Formula The area of a trapezoid equals half the product of its altitude and the sum of the lengths of its bases. A = ½ h(b1 + b2)

  7. 8-5 Areas of Quadrilaterals Parallelogram Area Formula The area of a parallelogram equals the product of the length of one of its bases and the altitude to that base. A = hb

  8. 8-5 Areas of Quadrilaterals Perpendicular Diagonals Quadrilateral Area Formula The area of a quadrilateral with perpendicular diagonals equals half the product of its diagonals. A = ½d1d2

  9. 8-5 Areas of Quadrilaterals • What are the areas of these Quadrilaterals?

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