9514 1404 393
Answer:
37.5 square units
Explanation:
When the points are plotted on a graph, you can see that the sides of the trapezoid are the hypotenuse of a 3-4-5 right triangle (or multiple thereof). The grid lines make up the legs of the triangle, and the edge of the figure makes up the hypotenuse. Side BC is clearly twice as long as side AD.
The area formula for a trapezoid applies:
A = 1/2(b1 +b2)h
A = 1/2(5 +10)(5) = 1/2(75) = 37.5 . . . . square units area