Final answer:
To calculate the area of a combined figure of a triangle and a rectangle, find each area separately using their respective formulas, convert all measurements to the same units, and consider significant figures in your calculations.
Step-by-step explanation:
To find the area of the figure formed by a triangle and a rectangle, we need to calculate the area of each shape separately and then add them together. For the triangle, we use the formula 1/2 × base × height. If the base of the triangle is 1.007 m (100.7 cm, since 1 m = 100 cm) and the height is 0.665 m (66.5 cm), the area of the triangle in square centimeters is 1/2 × 100.7 cm × 66.5 cm.
For the area of a rectangle, the formula is length × width, and expressing the answer to the proper number of significant figures is crucial. If the sides of the rectangle are 2.44 cm and 6.077 cm, then the area in square millimeters (1 cm = 10 mm, so we convert the measurements to mm before multiplying) will also consider significant figures.
In both cases, it's important to convert measurements to the same unit, to use the correct number of significant figures based on the precision of the given lengths, and then to calculate the respective areas.