To find the actual area of the basketball court based on the scale drawing, we first need to convert the dimensions from the scale drawing to the actual dimensions.
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Convert the dimensions from inches to feet using the scale:
- The scale states that 1 inch equals 8 feet.
For the length: \[ \text{Actual Length} = 11.75 \text{ inches} \times 8 \text{ feet/inch} = 94 \text{ feet} \]
For the width: \[ \text{Actual Width} = 6.25 \text{ inches} \times 8 \text{ feet/inch} = 50 \text{ feet} \]
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Now, calculate the actual area of the basketball court using the formula for area (Area = Length × Width): \[ \text{Area} = 94 \text{ feet} \times 50 \text{ feet} = 4700 \text{ square feet} \]
Therefore, the actual area of the basketball court is \( \boxed{4700} , \text{ft}^2 \).