Final answer:
To find the actual area of the basketball court, we convert the dimensions from the scale drawing by the scale factor (1 inch = 8 feet), and then multiply the real length by the width to get the area, resulting in 4200 square feet.
Step-by-step explanation:
The question asks us to calculate the actual area of a real basketball court based on a scale drawing. First, we convert the dimensions of the basketball court from the scale drawing to actual size. Since the scale is 1 inch = 8 feet, we must multiply each dimension of the drawing by 8 to get the real size.
To find the actual length and width:
Actual length = 6.25 inches × 8 feet/inch = 50 feet
Actual width = 10.5 inches × 8 feet/inch = 84 feet
Then, to find the area in square feet, we multiply the length by the width:
Area = Actual length × Actual width = 50 feet × 84 feet = 4200 square feet
Therefore, the area of the actual basketball court is 4200 square feet.