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"Area of Trapezoid" Area of Polygon PPT Courseware 2
Look at pictures and think about problems
1. Can you use the skills you have learned to find a way to find the area of a trapezoid?
2. If you can’t think of a way by looking at the picture, can you think of a way to find the area of a trapezoid by using the learning tools in your hand?
Divide a trapezoid into two triangles
Because: the area of two triangles
3×4÷2+5×4 ÷2= (3+5)×4÷2
So: the area of the trapezoid
(3+5)×4÷2
Divide a trapezoid into a parallelogram and a triangle
Because: Area of parallelogram = 3×4
Area of triangle = (5-3) × 4÷2
Therefore: the area of the trapezoid = 3×4+(5-3)×4÷2=(3+5)×4×÷2
Derived formula
Just now we found the relationship between the areas of various parts of the new and old shapes by transforming the shapes. Successfully found the area of the trapezoid on the right. (3+5)×4÷2
Area of trapezoid = (upper base + lower base) × height ÷ 2
True or False
1. The area of the trapezoid is S=(a+b)h. ( )
2. The area of a trapezoid is half of the area of a parallelogram. ( )
3. If the heights of two trapezoids are equal, their areas are equal. ( )
4. It is known that the average value of the upper and lower bases of a trapezoid is d meters, the height is h meters, and its area is "dh square meters" ( )
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For more information about the "Area of Polygons and Areas of Trapezoides" PPT courseware, please click the Area of Polygons ppt Area of Trapezoid ppt tag.
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"Area of Trapezoid" Area of Polygon Flash Animation Courseware 3:
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"Area of Trapezoid" Area of Polygon PPT Courseware 3:
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