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The formula for the area of a triangle is A = 1/2 * base * height.
Given that the base is 13 yards and the height is 5 yards, we can plug these values into the formula:
A = 1/2 * 13 * 5
A = 1/2 * 65
A = 32.5
The area of the triangle is 32.5 square yards, so the answer is B. 32.5 square yards.