Final answer:
To find the actual length of the basketball court on the blueprint with a scale of 1 inch: 9 feet, multiply the drawn length (10.4 inches) by the scale factor and then divide by 12 to convert to feet, which calculates to 7.8 feet.
Step-by-step explanation:
To find the actual length of a basketball court represented on a blueprint, where the drawing has a scale of 1 inch: 9 feet and the length on the drawing is 10.4 inches, you can use a simple multiplication.
You multiply the length on the drawing by the scale factor to find the actual length:
Actual length = 10.4 inches × 9 feet/inch
However, since we're looking for the length in feet, we'll need to convert inches to feet. There are 12 inches in a foot, so the calculation becomes:
Actual length = (10.4 inches × 9 feet) / 12 inches/foot
The inches cancel out, leaving the answer in feet:
Actual length = (10.4 × 9) / 12 feet
Actual length = 93.6 / 12 feet
Actual length = 7.8 feet