What is the area in square feet of a triangle with a base of 325 feet and a height of 150 feet?

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To calculate the area of a triangle, the formula used is:

[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ]

In this case, the base of the triangle is 325 feet and the height is 150 feet. Plugging these values into the formula gives:

[ \text{Area} = \frac{1}{2} \times 325 \times 150 ]

Calculating this step-by-step:

  1. First, multiply the base by the height: [ 325 \times 150 = 48,750 ]

  2. Then, take half of that product: [ \frac{1}{2} \times 48,750 = 24,375 ]

Therefore, the area of the triangle is 24,375 square feet. This is why the first choice is the correct answer. The other options represent incorrect calculations or misunderstandings of the area formula for triangles, as they do not yield the correct area when the base and height are properly applied in the area formula.

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