Final answer:
The surface area of a rectangle is calculated by multiplying its length and width, while the surface area of a triangle is found using the formula area=1/2 × base × height. These areas are converted to the desired units and expressed with the correct number of significant figures.
Step-by-step explanation:
Since the actual image and specific measurements are not provided in the question, I will give a general explanation on how to calculate the surface area of a geometric figure using a rectangle and a triangle as examples.
Rectangle Surface Area
The surface area of a rectangle is calculated by multiplying the length and width of the rectangle. For a rectangle with sides 2.44 cm × 6.077 cm, you would use the formula area = length × width. Therefore, the area would be 2.44 cm × 6.077 cm = 14.82788 cm². To express this with the correct number of significant figures, which are determined by the least precise measurement used in the calculation, we get 14.8 cm² because the length was given to three significant figures.
Triangle Surface Area
The surface area of a triangle is calculated using the formula area = 1/2 × base × height. If the base is 1.007 m and the height is 0.665 m, first convert meters to centimeters (1 m = 100 cm) to keep the units consistent. The calculation would then be (1.007 m × 100 cm/m) × (0.665 m × 100 cm/m) × 1/2 = 335.848 cm². After applying the rules of significant figures, the final answer is 336 cm².