Final answer:
The area of a triangle with a base of 1.007 m and a height of 0.665 m is approximately 33.5 cm² when expressed to the proper number of significant figures (three).
Step-by-step explanation:
To solve for the area of a triangle with a base of 1.007 m and a height of 0.665 m, we use the formula Area = 1/2 × base × height. For these measurements, the area would be:
Area = 1/2 × 1.007 m × 0.665 m = 0.334675 m² or 33.4675 cm²
Considering significant figures, the base has four significant figures and the height has three; therefore, the area should be reported with three significant figures because the number with the fewest significant figures used in the calculation is three.
Thus:
Area ≈ 33.5 cm²