In this page area of quadrilateral we are going to see the formula to be used to find the area of the quadrilateral.To find the area we are given four vertices.We need to consider the given vertices as

The formula to be used to find the area is

We need to apply the the appropriate values in the formula to get the area.Now let us see the example problems to understand this topic more clear

**Example 1:**

Find the area formed by the points (-3,-9) (-1,6) (3,9) and (5,-8).

Now we have

= 1/2 {(-3(6)+(-1)9+3(-8)+5(-9))-((-1)(-9)+3(6)+5(9)+(-3)(-8))}

= 1/2 {(-18-9-24-45) - (9+18+45+24)}

= 1/2 {-96 -96}

= 1/2 {-192}

= -192/2

= -96

Area cannot be negative. So the answer is 96 Square Units.

**Example 2:**

Find the area formed by the points (5,8) (6,3) (3,1) and (2,6)

Now we have

x= 1/2 {(5(3)+6(1)+3(6)+2(8))-(6(8)+3(3)+2(1)+5(6)}

= 1/2 {(15+6+18+16) - (48+9+2+30)}

= 1/2 {55 -89}

= 1/2 {-34}

= -34/2

= -17

Area cannot be negative. So the answer is 17 Square units.

**Related Topics**

**Section formula****Area of triangle****Area of triangle worksheets****Area of quadrilateral****Centroid of the triangle worksheets****Finding missing vertex using centroid worksheet****Midpoint****Distance between two points****Distance between two points worksheet****Slope of the line****Equation of the line****Equation of line using two points worksheet****Equation of the line using point and slope worksheets****Point of intersection of two lines****Point of intersection Worksheets****concurrency of straight line****Concurrency of straight lines worksheet****Circumcentre of a triangle****Circumcentre of Triangle Worksheet****Orthocentre of a triangle****Orthocentre of Triangle Worksheet****Incentre of a triangle****Locus****Perpendicular distance****Angle between two straight lines****Equation of a circle****With center and radius****With endpoints of a diameter****Equation of a circle passing though three points****Length of the tangent to a circle****Equation of the tangent to a circle****Family of circles****Orthogonal circles****Parabola****Ellipse**

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