How to find the area of a quadrilateral using coordinates?

If you have the coordinates of any vertex of the quadrilateral, it will be pretty easy to calculate the area. If all the vertices are not given, you can use the following technique to find the area of a quadrilateral using coordinates. This works only for convex quadrilaterals. The idea is to choose a vertex as the origin and then calculate the area of the four triangles formed by the other vertices. If you add the areas of these four triangles, you will

How to find the area of

The area of a quadrilateral is equal to the sum of the areas of the four triangles formed by the four sides. If you’ve drawn the quadrilateral using two pairs of coordinates, you can use the area formulas for two triangles with the shared base (or two triangles with a common base line) to find the area of the quadrilateral.

How to find the area of a quadrilateral given its vertices?

Using the coordinates of the vertices, you can find the area of a quadrilateral using the Heron’s formula. To work the formula out, you first need to find the area of two triangles formed by the two pairs of opposite sides of the quadrilateral. These two triangles are known as base and height triangles. To find the area of the base triangle, you need to subtract the area of the fourth vertex (that is formed by the two opposite sides that form the height

How to find the area of a quadrilateral given four vertex coordinates?

Quadrilaterals are the most common type of planar geometric figure, so you will most likely come across them in any type of problem. The area of a quadrilateral can be found using the Pythagorean Theorem, as shown in the figure below. The area of a quadrilateral is equal to the sum of the areas of its four triangles (or the area of the whole square if it is a right angle). To find the area of a quadrilateral given its vertex

What is the area of a quadrilateral given vertex coordinates?

The area of a quadrilateral can be calculated given its vertex coordinates, but not the other way around. There are various ways to calculate the area of a quadrilateral given its vertex coordinates, here are a few: The cross product method works by multiplying the two diagonals. If the quadrilateral is convex, this method will give you the area of the actual quadrilateral. If the quadrilateral is concave, then you will get the area of the region inside