How would you solve this math problem?

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1

<p>How would you go about solving this?</p>

<p><a href="http://i38.tinypic.com/rrowlh.jpg%5B/url%5D"&gt;http://i38.tinypic.com/rrowlh.jpg&lt;/a&gt;&lt;/p>

<p>In the figure above, what is the area of quadrilateral OABC?</p>

<p>Thank you!</p>

2

<p>You have to be able to visualize that the shape drawn in the coordinate plane is part of an entire trapezoid. You then see that the missing pieces are the two triangles. Calculate the area of the entire trapezoid and the two triangles and subtract the latter from the former.</p>

3

<p>The figure is not drawn correctly. Here is what you do:</p>

<p>Let D be the point (2,1) and draw the line AD. The area of triangle ABD is 3/2.</p>

<p>Area of trapzoid OADC = 1 (Height) * (3 + 1)/2 = 2</p>

<p>Area OABC = 2 + 3/2 = 3.5</p>

4

<p>Ahh I see. Thank you!</p>