To find the area of a triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
For your right triangle, the base is 125 meters and the height is 64 meters. Plugging in these values:
\[ \text{Area} = \frac{1}{2} \times 125 \times 64 \]
Calculating this step-by-step:
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Multiply the base and the height: \[ 125 \times 64 = 8000 \]
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Now, take half of that product: \[ \text{Area} = \frac{1}{2} \times 8000 = 4000 \]
Thus, the area of the play area is:
\[ \text{Area} = 4000 \text{ square meters} \]
So, the final answer is 4000 square meters.