<p>The same question stumped me (when I took the test). It was pretty easy though...</p>
<p>Basically, draw lines around the figure to form a parallelogram. Then using the points on the graph and the formula for the area of a triangle. Area of the parallelogram - area of the triangles = area of the figure.</p>
<p>Just divide it into shapes. The top half is just a triangle (use the normal base x height formula, even though it's skewed), the bottom half was a square and two triangles. 'Twas how I did it anyways.
(I want my scores!!)</p>
<p>"Actually..for the quadrilateral one I got 4.5..what I did was to solve for the equations of both the diagonal lines, then graph them and find the intersection point. From the intersection point I was able to find the distance from vertex to vertex and use 1/2bh to solve for the area of the triangle..that gave me the answer of 4.5"</p>
<p>That's from the october 18 discussion board - i posted that. However, most people on there got 3.5, not 4.5.</p>
<p>I haven't seen the problem, only that picture, but I think Krofh's solution is the quickest and neatest one you'll find. You could also combine the bottom part into a trapezoid if you prefer.</p>
<p>Oh, and if I understand the picture correctly, the area is in fact 7/2.</p>