Trapezium area. Calculation of the trapezium area

The trapeze is a polygon, that is, a closed flat figure formed by straight line segments that receive the name of side. The meeting of the sides is called vertices. As it is a closed figure, it has a surface that is also called an area. Let's get to know the types of trapezoids that exist according to Plane Geometry: Rectangle Trapezium, Isosceles Trapezium and Scalene Trapezium.

In the trapeze, two opposite sides will always be parallel, that is, they are sides that, when extended, will never have a common point. Watch:

We say that sides AB and DC are parallel and constitute the two bases of the trapezoid, considering in this case that:
AB: smallest base.
DC: largest base.

To calculate the area of ​​a figure in the shape of a trapezoid, we must perform the following operations:
1st step: add the bases.
2nd step: multiply the result of the sum of the bases by the height of the trapeze.
3rd step: divide the multiplication result by two.

We can also use the following Mathematics expression:  .
In this expression we have to:


The area.
B: larger base.
B: smaller base.
h: height.

Let's calculate the area of ​​the following trapezoids:

The trapeze has 66 units of area.

The trapeze has an area equal to 29 units of area.

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