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11-1: Areas of Parallelograms

11-1: Areas of Parallelograms. Geometry April 11, 2011. Geometry Lab. Draw a parallelogram ABCD on graph paper. Label the vertices on the inside of the angles. Fold ABCD so that A lies on B and C lies on D, forming a rectangle. D. C. A. B. Geometry Lab .

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11-1: Areas of Parallelograms

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  1. 11-1: Areas of Parallelograms Geometry April 11, 2011

  2. Geometry Lab • Draw a parallelogram ABCD on graph paper. Label the vertices on the inside of the angles. • Fold ABCD so that A lies on B and C lies on D, forming a rectangle. D C A B

  3. Geometry Lab • What is the area of the rectangle? • How many rectangles form the parallelogram? • What is the area of the parallelogram? • How do the base and altitude of the parallelogram relate to the length and width of the rectangle? • Use what you observed to write a formula for the area of a parallelogram.

  4. Area of a Parallelogram

  5. Ex 1: Find the perimeter and area of the parallelogram.

  6. Ex 2: Find the perimeter of the parallelogram.

  7. Ex 3: The Kings want to sod a portion of their yard. Find the number of square yards of grass needed to sod the shaded region in the diagram.

  8. Ex 4: The Wagners are planning to put hardwood floors in their dining room, living room, and kitchen. Find the number of square yards of wood needed. To the nearest whole number.

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