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The area of the polygon can be found by calculating the area of each leg of the X and then adding them together.
Each leg of the X forms a rectangle with dimensions 7 by 5. The area of each leg is 7 * 5 = 35 square units.
Since there are four legs, the total area of the polygon is 4 * 35 = 140 square units.
Therefore, the correct answer is 140 square units.