Area of the Quadrilateral

Area of the Quadrilateral: In quadrilateral the opposite sides are equal lengths; the opposite angles are equal; or that the diagonals bisect each other.In ABCD quadrilateral diagonal is a straight line joining two alter AC and DB are the diagonals.Areas of quadrilateral is measured in terms of square units such as square inches,squarefeet or square meters.Now let us look at area of a quadrilateral problems.area of a quadrilateral problems, Areas of quadrilaterals = √{(s-a)(s-b)(s-c)(s-d) -1/4(ac+bd+pq)(ac+bd-pq)}, where a,b,c and d are the four sides of the quadrilateral, p and q are diagonals, and s = (a+b+c+d)/2.Let us now calculate the area of a quadrilateral.


You can achieve the same result with this formula:

Areas of a quadrilateral Problem = √{(s-a)(s-b)(s-c)(s-d)-abcd(cos square theta)}

where theta = 1/2 (sum of two opposite angles)

Another method:

The area of quadrilateral ABCD = 1/2Area of ABD +1/2 area of BDC

= ½ x base x altitude + ½ x base x altitude

= 1/2d ( h1 + h2)

Hope you like the above example of Area of the Quadrilateral.Please leave your comments, if you have any doubts.