What is the area of a quadrilateral?

Answer 1

Quadrilaeral has 4 sides and the sum of angles of 180*2=360 The above awnser is right, but heres a simpler awnser: A quadrilateral is a closed foursided shape. (closed means all the sides are connected togethere with both sides next to them). A square is a quadrilateral

For most quadrilaterals it is 'length times perpendicular height' and measured in square units.

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The answer given for the area is true only for a small number of quadrilaterals which contain two pairs of parallel lines. The answer for most quadrilaterals is that they need to be divided into two triangles , the area of each calculated and the results added together.

Answer 2

There is no simple answer.

• In the case of a parallelogram (including rhombus, rectangle and square) it is base multiplied by the perpendicular distance between the base and the side parallel to it.
  
• In the case of a trapezium, it is the average length of the parallel sides multiplied by the perpendicular distance between them.
• In all other cases (kite, arrowhead and the general shape which has no specific name) it is necessary to draw a diagonal which will divide the quadrilateral into two triangles. Calculate the area of each triangle and sum the result.