Wednesday, March 4, 2009

Irregular shapes

In our last tutorial, approaches were investigated to find the area of an irregular shape. Suggestions
  1. Make the best rectangle out of the irregular shape
  2. Make many rectangles out of the irregular shape
  3. Make many rectangles with equal widths out of the irregular shape
  4. Make many trapeziums with equal widths out of the irregular shape

This was named Trapezoidal rule.

A hand was used to show that many trapeziums meant that the 2 outer lengths were the only lengths never repeated

7 comments:

  1. Remember:
    a trapezium is a quadrilateral that has only one pair of parallel sides.
    so
    area = 1/2 (sum of parallel sides) * height.
    &
    perimeter = sum of sides

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  2. NOTE:
    a trapezium is a quadrilateral that has only one pair of parallel sides. or in other words, it is is a triangle joined to a square.

    Area of a trapezium = 1/2 (sum of parallel sides) * height.
    And
    perimeter = sum of sides.
    Or area of a triangle =(1/2 base * height)
    and
    area of a square is side by side. or side ^ 2.

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  3. Trapezium=A quadrilateral with no parallel sides

    the perimeter is the sum of all sides.

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  4. Area of trapezium= half sum of parallel sides*height

    ReplyDelete
  5. wrong.....read
    star i would a quadrilateral with no parallel sides thats wrong.read

    A trapezium is another name for a trapezoid. It is a quadrilateral (it has 4 sides) with two of them parallel.

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  6. when using the trapezium rule.. you add the first and last length once and the lengths in the middle twice...

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  7. Instead of using rectangles, we see that trapezoids (trapeziums) give a better approximation to the area.

    Area of a trapezium = 1/2 (sum of parallel sides) * height.
    perimeter = sum of sides.

    ReplyDelete