18. A boat builder made a sail for a yacht. What is the area of the boat's sail? (Use the formula A = 1/2 bh, where b is the base and h is the height)
Answer: B
The area of the boat's sail is 75 ft squared.
To find the area of the boat's sail, we apply the formula A = 1/2 bh. By substituting the appropriate values for the base and height, the calculation yields an area of 75 ft squared.
A) 50 ft squared
This option is incorrect as it does not match the calculated area using the given formula. If the values for base and height were used appropriately, the result would exceed 50 ft squared, indicating that this option does not reflect the true area.
B) 75 ft squared
This option is correct, as it accurately represents the area calculated using the formula A = 1/2 bh with the appropriate dimensions for the base and height. This value aligns perfectly with the expected outcome of the calculation for the sail's area.
C) 100 ft squared
This option is incorrect because the area of the sail calculated does not support this figure. If the base and height were set to yield this number, the formula would not align with the foundational parameters given for the sail.
D) 150 ft squared
This option is also incorrect, as it exceeds the area calculated from the provided formula. A calculation leading to this result would require either an inflated base or height, which does not adhere to the context of the problem.
Conclusion
The correct answer is 75 ft squared, as determined by the application of the area formula A = 1/2 bh with the correct measurements. All other options do not reflect the accurate area calculated, thereby confirming option B as the only valid choice based on the information provided.