Final answer:
The area of a triangle with a base of 1.007 m and height of 0.665 m is 3348 cm² when rounded to three significant figures, after converting meters to centimeters.
Step-by-step explanation:
To find the area of a triangle, we use the formula ½ × base × height. For instance, if a triangle's base is 1.007 m and its height is 0.665 m, we can calculate its area in square meters. First, we convert meters to centimeters because the question specifies the answer should be in square centimeters. Using the conversion factor where 1 m = 100 cm, the base becomes 100.7 cm and the height becomes 66.5 cm. Now, applying the area formula:
Area = ½ × (100.7 cm) × (66.5 cm) = ½ × 6696.65 cm² = 3348.325 cm²
According to the rules of significant figures, our answer should be rounded to the least number of significant figures present in the given measurements. Since 1.007 has four significant figures and 0.665 has three significant figures, our final answer should be rounded to three significant figures:
Area = 3348 cm² (rounded to three significant figures)