How do you find the area of a quadrilateral with vertices?

Finding the area of a quadrilateral can be accomplished in either of two ways — by multiplying the lengths of the diagonals or by adding the areas of the triangles formed by the diagonals. You can easily find the length of a quadrilateral’s diagonals using the Pythagorean Theorem. Just take the square root of the sum of the squares of the two legs.

How to find the area of a quadrilateral with vertices and edges?

In order to find the area of a quadrilateral with vertices you need to determine the area of each of the four sides. Let’s take a look at a few different methods for finding the sides of a quadrilateral with vertices and edges.

How

The area of a quadrilateral is equal to its perimeter multiplied by its average interior angle (or its sum of the interior angles). In other words, the area of a quadrilateral is equal to its perimeter multiplied by the average of the measures of the angles opposite each side, which is equal to (180-π)/4. So if you have a quadrilateral with four sides and its perimeter is 20, then its area is 20 × (180-π)/4 or 6.

How to find the area of a quadrilateral with vertices and diagonals?

This problem is not as difficult as it may seem. You just need to remember two properties of a quadrilateral with vertices: the sum of the diagonals is equal to the sum of the squares of the sides opposite the diagonals, and the area of a quadrilateral with two equal sides is equal to that of a square with those two sides as the base and the height equal to the length of the other two sides.

How to find the area of a quadrilateral with vertices?

If you have four points, you can use the Pythagorean theorem to find the area. If you have four vertices in the shape of a square, you can use the area of a square. If you have four vertices in the shape of a rectangle, you can use the area of a rectangle. If you have four vertices in the shape of a parallelogram, you can use the area of a parallelogram.