Final answer:
The area of a triangle is found using the formula (1/2 × base × height). First convert all measurements to the same unit, here in cm, then calculate the area and express it in significant figures. For calculations involving other shapes like squares or rectangles, multiply the length by width or use the specific shape's formula.
Step-by-step explanation:
The area of a triangle can be calculated using the formula 1/2 × base × height. When given the base and height in different units, it's necessary to first convert them to the same unit before using the formula. Since the question provides dimensions in meters but asks for the area in square centimeters, we must convert the base and height to centimeters before calculation.
For example, if a triangle's base is 1.007 m (which is 100.7 cm, after multiplying by 100), and its height is 0.665 m (which is 66.5 cm), the area can be found by multiplying (1/2) × (100.7 cm) × (66.5 cm). The precise value of the area is 3346.735 cm², but considering significant figures and given that the measurements are provided to four and three decimal places, respectively, we should express our answer to three significant figures: 3350 cm² (considering that the last digit is not perfectly accurate due to rounding of the original measurements).
Remember to keep in mind that when converting to square meters, you would multiply the length and width (in meters) together, and the result should be expressed in square meters.