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)
The area of the boat's sail is 75 ft squared.
Using the formula A = 1/2 bh, where b is the base and h is the height, substituting the appropriate values results in an area of 75 ft squared for the sail.
To arrive at an area of 50 ft squared, the dimensions used must be incorrect or the calculation misapplied. For instance, if the base and height values were both too small or improperly substituted, this would yield a significantly lower area than what is accurate.
This choice correctly reflects the calculation based on the formula A = 1/2 bh. Assuming the base is 10 ft and the height is 15 ft, the area calculates to A = 1/2 * 10 * 15 = 75 ft squared, confirming this as the correct answer.
An area of 100 ft squared would imply either a larger base or height than what is specified or an erroneous calculation. For example, if one incorrectly used base = 10 ft and height = 20 ft, it would yield A = 1/2 * 10 * 20 = 100 ft squared, which does not align with the actual dimensions provided in the problem.
This area exceeds the calculated values when applying the formula. It suggests an incorrect interpretation of either the base or height measurements leading to an inflated area. For instance, using a base of 15 ft and height of 20 ft would yield A = 1/2 * 15 * 20 = 150 ft squared, which does not reflect the actual dimensions given.
The area of the sail is accurately calculated as 75 ft squared, as derived from the specified dimensions using the formula A = 1/2 bh. While the other options reflect miscalculations or incorrect interpretations of the values, choice B correctly utilizes the given parameters to yield the proper area, ensuring that the sail's dimensions are accurately represented.
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