Area of an irregular quadrilateral

[Srinivas]

Hi,

Could anybody explain me how to find an area of irregular quadrilateral.

 

[Dr.Peterson]

Hi,

Could anybody explain me how to find an area of irregular quadrilateral.

You can't find the area without additional information. Do you know any angles? Or perhaps the length of a diagonal?

If the two angles on the bottom were both right angles, then this would be a trapezoid.

 

[Deleted member 4993]

Hi,

Could anybody explain me how to find an area of irregular quadrilateral.

Draw any of the diagonal of the given rectangle. This will split the rectangle into two triangles.

Assuming the base angles are right-angles, calculate the length of the diagonal and calculate the areas of the triangle using Heron's formula.

Add the areas of the triangles to get the area of the rectangle.

 

[Dr.Peterson]

View attachment 33579
You can't find the area without additional information. Do you know any angles? Or perhaps the length of a diagonal?

If the two angles on the bottom were both right angles, then this would be a trapezoid.

Unfortunately, the bottom angles can't be exactly right angles, because the top edge would not be exactly 880:



That length can be found by drawing the extra line shown and using the Pythagorean Theorem.

But if we knew any one angle, we could work out the area.

 

[Srinivas]

Thanks Peterson.