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Understanding Areas: Parallelograms and Trapeziums

Discover the magic of geometric shapes! This guide explores the areas of parallelograms and trapeziums, emphasizing the relationship with rectangles. Learn how to calculate the area of a parallelogram using the formula Area = base x height, ensuring measurements are perpendicular. Understand the trapezium's area with the formula Area = ½ x (a + b) x h, where a and b are the parallel sides, and h is the perpendicular height between them. Enhance your geometry skills and master these essential concepts in a fun, engaging way!

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Understanding Areas: Parallelograms and Trapeziums

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Presentation Transcript

  1. Parallelograms & Trapeziums Magic tricks with rectangles!

  2. Area of a Parallelogram perpendicular height What can you say about the base, height and area of the parallelogram compared with the rectangle base

  3. Area of a Parallelogram Area of a parallelogram = Area of a rectangle = base x height = bh Remember the height and base must be perpendicular measurements

  4. Sneaky Ones! Sometimes they try and catch you out. 6 6 7 4 8 5 9 Look for two measurements that are perpendicular to each other 12 8

  5. ? What will be the base of the new rectangle? If you are not sure then try it with some different values for a and b to see what happens. Area of a Trapezium a h b

  6. Area of a Trapezium Area of a Trapezium = ½ (a+b)h Notes: Add a and b first then times by the height and divide by 2. a and b are the parallel sides and h is the perpendicular distance between them – this is not necessarily the height.

  7. 5 8 9 5 4 15 A trapezium is not necessarily a roof shape! Sometimes it is a lean-to conservatory and sometimes it is nothing to do with houses at all! Identify a, b and h. Then find the areas

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