How do you find the area of a quadrilateral with 4 vertices?

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows. Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows. Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.

What is the formula to find area of quadrilateral?

Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

How do you find the area of a irregular quadrilateral?

The area of any irregular quadrilateral can be calculated by dividing it into triangles. Example: Find the area of a quadrilateral ABCD whose sides are 9 m, 40 m, 28 m and 15 m respectively and the angle between the first two sides is a right angle. The area of the quadrilateral ABCD =(180+126)=306 square meters.

What is the most precise term for quadrilateral ABCD with vertices?

a kite
We have to find the most precise term for the quadrilateral ABCD. By definition, two disjoint pairs of consecutives sides are congruent,the given quadrilateral is a kite. Therefore, the given quadrilateral is a kite.

What is the most precise classification of the quadrilateral?

Rhombus
2. What is the most precise classification of quadrilateral QUAD? Rhombus – All sides congruent, but slopes of side are not opposite reciprocals 3.

How do you find the area of a weird quadrilateral?

What is the area of quadrilateral ABCD in which AB 3cm?

Thus, the area of the quadrilateral ABCD is 15.2 cm2.

What is the formula to find the area of a quadrilateral?

Area of Quadrilateral Formula 1 Area of quadrilateral PQRS is equal to the sum of the area of triangle PSR and the area of triangle PQR. 2 Area of triangle PSR = (base * height)/2 = (PR * h 1 )/2 3 Area of triangle PQR = (base * height)/2 = (PR* h 2 )/2 4 Thus, area of quadrilateral PQRS is, 5 Area of triangle PSR + Area of triangle PQR =

How do you find the common base of a quadrilateral?

We can view the quadrilateral as a combination of 2 triangles, with the diagonal PR being the common base. h 1 and h 2 are the heights of triangles PSR and PQR, respectively. Area of quadrilateral PQRS is equal to the sum of the area of triangle PSR and the area of triangle PQR.

How many sides does a quadrilateral have?

1 Every quadrilateral has 4 vertices and 4 sides enclosing 4 angles. 2 The sum of its interior angles is 360 degrees. 3 A quadrilateral, in general, has sides of different lengths and angles of different measures. However, squares, rectangles, parallelograms, etc.

What are the vertices of the quadrilateral ABCD?

Let us consider the quadrilateral ABCD shown below. In the above quadrilateral, A (x1, y1), B (x2, y2), C (x3, y3) and D (x4, y4) are the vertices.