A quadrilateral is a geometric shape that has 4 sides and 4 vertices. Here I am talking about a quadrilateral that has no equal sides or equal angles. The area of such a quadrilateral can be calculated in many ways but I chose one of them.

**1 ÷ 4 √ 4 × p ^{2} × q^{2} - (a^{2} + c^{2} - b^{2} - d^{2})^{2}**

Where:

*p* and *q* are the diagonals of the quadrilateral.

*a*, *b*, *c*, and *d* are the sides of the quadrilateral.

Example:

If p = 26, q = 22, a = 20, b = 18, c = 8, and d = 24

then A = ?

1 ÷ 4 √ 4 × p^{2} × q^{2} - (a^{2} + c^{2} - b^{2} - d^{2})^{2} =

1 ÷ 4 √ 4 × 26^{2} × 22^{2} - (20^{2} + 8^{2} - 18^{2} - 24^{2})^{2} =

1 ÷ 4 √ 4 × 676 × 484 - (400 + 64 - 324 - 576)^{2} =

1 ÷ 4 √ 1308736 - (- 436)^{2} =

1 ÷ 4 √ 1308736 - 190096 =

1 ÷ 4 √ 1118640 =

1057 ÷ 4 = 265