Final answer:
The area of the triangle is 3350 cm² when rounded to three significant figures, after converting the base and height to the same units (centimeters).
Step-by-step explanation:
To calculate the area of a triangle using the given base and height, we apply the formula ½ × base × height. First, we have to ensure that the units are consistent. Since the base is given in meters and needs to be in centimeters, we convert 1.007 m to centimeters:
1.007 m × 100 cm/m = 100.7 cm
We now use the formula to calculate the area:
½ × 100.7 cm × 0.665 m × 100 cm/m
Since 0.665 m also needs to be converted to centimeters:
0.665 m × 100 cm/m = 66.5 cm
Then the area calculation is:
½ × 100.7 cm × 66.5 cm = 3351.175 cm²
We then round this result to three significant figures, because we started with measurements that had four (1.007 m) and four (0.665 m) significant figures, but since the base measurement includes the zero as a significant figure:
Area = 3350 cm² (to three significant figures)