Final answer:
The area of a triangle with a base of 1.007 m and a height of 0.665 m is 3350 cm² when expressed to three significant figures, after converting the measurements from meters to centimeters.
Step-by-step explanation:
The area of a triangle can be calculated using the formula 1/2 × base × height. For a triangle with a base of 1.007 m (which is 100.7 cm when converted to centimeters) and a height of 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
The next step is to multiply these values:
Area = 0.5 × 100.7 cm × 66.5 cm = 3346.675 cm²
Considering significant figures, the value 100.7 has four significant figures and 66.5 has three, so our answer should be expressed to three significant figures:
Area = 3350 cm² (to three significant figures)