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Math Help - Trapezoids

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    Trapezoids

    A trapezoid can be divided into a rectangle and two triangles. Show that the area formula for a trapezoid gives the same result as the sum of the areas of the rectangle and triangles.


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  2. #2
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    Re: Trapezoids

    Quote Originally Posted by Christyh101 View Post
    A trapezoid can be divided into a rectangle and two triangles. Show that the area formula for a trapezoid gives the same result as the sum of the areas of the rectangle and triangles.
    Area of a trapezoid ... A = \frac{h}{2}(B_1 + B_2)

    using the sketch where x_1 + B_1 + x_2 = B_2 , write the area as the sum of the areas of the rectangles and the two triangles ... then perform some algebra to make it look like the trapezoid area equation.
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