Find the area of the pentagon whose vertices are `A(1,1),B(7,21),C(7,-3),D(12 ,2),` and `E(0,-3)`

Explanation

To find the area of the pentagon with vertices A(1,1), B(7,21), C(7,-3), D(12,2), and E(0,-3), we can use the formula for the area of a polygon given its vertices. The formula is:

\[ \text{Area} = \frac{1}{2} \left| x_1y_2 + x_2y_3 + x_3y_4 + x_4y_5 + x_5y_1 - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_5 + y_5x_1) \right| \]

Where \((x_1, y_1), (x_2, y_2), (x_3, y_3), (x_4, y_4), (x_5, y_5)\) are the coordinates of the vertices.

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