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ISEE Upper Level
Mathematics Achievement

Area of Trapezoid in Coordinate Plane

Hard Geometry Coordinate Geometry

Consider a trapezoid ABCD in the coordinate plane, where points:

A(2, 3), B(5, 5), C(7, 4), and D(4, 2) are the vertices.

Determine the area of trapezoid ABCD.

To determine the area of a trapezoid with bases of lengths $b_1$ and $b_2$, and height $h$, use the formula: $$Area = \frac{1}{2} \times (b_1 + b_2) \times h$$

Note that for trapezoid ABCD, you will need to find the lengths of the bases and the height to use in the area formula.

Hint

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