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In this video, let's discuss how to find the area of a tropism over here, you have Trapezius ABCDE

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and we know Abbi's parallel to.

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All right.

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Now let the measurement of ABC and let the measurement of DCB be.

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Now, let's construct the altitude's at Vertex A and B.

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To let the height be it now, let this distance over here, the.

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X, let it be B one and C white, let it be B three and let this X Y be two.

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So let me out of the measurements as B1, B2 over here.

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And this is B three.

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Now we are trying to find the area of this Topsham, but you can see from the figure that the area of

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this trapezius will be equal to the area of this triangle, plus the area of this rectangle, plus the

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area of this triangle over here.

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So that is half we want to into X plus B, two into it plus half B three.

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Do it right.

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Remember, any of a triangle is half base into height and area of this rectangle.

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It's in the B2 that is side into the other side.

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All right.

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Now let's pick it out because it's a common factor in these three terms.

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Right.

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And let me multiply this with two and.

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Right.

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It has divided by two, but I can now take on it by two.

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So this becomes a two by two to be one plus to be two plus B three.

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All right.

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Now, over here you can see B one plus two plus B three is equal to be.

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Right.

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So I can write this as it's by two in the B plus B two.

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Right.

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All right, now over here also, you can see that BE2 is equal to it.

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Let me right in sort of two and this becomes its bitou into E-Plus B, therefore, the area of a tropism

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is half the height of the tropism or the distance between the parallel sides into the some of the parallel

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sights lengths.

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But this is the way we find the area of trapezius.