Final answer:
The base AB of the trapezoid cannot be calculated with the given information. The area of a triangle with a base of 1.007 m and a height of 0.665 m, when expressed in centimeters, is 3400 cm² when rounded to two significant figures.
Step-by-step explanation:
The student needs assistance with finding the length of the base AB in a trapezoid and calculating the area of a triangle using given dimensions. To find the base AB when given the bases DC and EF, you would typically use the properties of a trapezoid. However, there seems to be insufficient information to directly calculate AB with what’s provided in the question.
For the calculation of the area of a triangle:
The area of a triangle can be found using the formula 1/2 × base × height. If the base is 1.007 m (which is 100.7 cm since 1 m = 100 cm) and the height is 0.665 m (which is 66.5 cm), the area in square centimeters is calculated as follows:
Area = (1/2) × 100.7 cm × 66.5 cm = 3346.635 cm²
Considering significant figures, we look at the least number of decimal places in the given measurements, which is two decimal places. Thus, the area, rounded to the proper number of significant figures, is 3400 cm².