You must show all formulas used and show your step-by-step calculations.
1. Create a quadrilateral on a coordinate grid. (It cannot be an irregular quadrilateral, so choose your coordinates accordingly). Draw iff
\(\triangle ABC + \triangle ADC = 2 + 2 = \boxed{4}\)
Step 1 :\(\text{Let's choose the coordinates of the quadrilateral as follows:}\)
Step 2 :\(A(0, 0), B(2, 0), C(2, 2), D(0, 2)\)
Step 3 :\(\text{Divide the quadrilateral into two triangles:}\)
Step 4 :\(\triangle ABC \text{ and } \triangle ADC\)
Step 5 :\(\text{Since } AB \text{ is horizontal, the area of } \triangle ABC \text{ is:}\)
Step 6 :\(\frac{1}{2} \cdot AB \cdot BC = \frac{1}{2} \cdot 2 \cdot 2 = 2\)
Step 7 :\(\text{Since } AD \text{ is vertical, the area of } \triangle ADC \text{ is:}\)
Step 8 :\(\frac{1}{2} \cdot AD \cdot DC = \frac{1}{2} \cdot 2 \cdot 2 = 2\)
Step 9 :\(\text{The area of the entire quadrilateral is:}\)
Step 10 :\(\triangle ABC + \triangle ADC = 2 + 2 = \boxed{4}\)