Final answer:
The area of the rectangle is 10 cm², calculated by multiplying its length and width (4 cm × 2.5 cm). The area of the parallelogram is 36 ft², found by multiplying its base and height (9 ft × 4 ft). Proper labeling and squared units are important.
Step-by-step explanation:
The student is asking to draw and label figures, to find their area, and to provide proper measurements and labels. Let's tackle each question step by step.
1. Rectangle Area Calculation
To find the area of a rectangle, you multiply the length by the width. In this case, the rectangle's length is given as 4 cm and the width is 2.5 cm. So, the area is calculated as follows:
Area = Length × Width = 4 cm × 2.5 cm = 10 square cm (cm²).
2. Parallelogram Area Calculation
The area of a parallelogram is found by multiplying the base by the perpendicular height. With a base of 9 ft and a height of 4 ft, the area is:
Area = Base × Height = 9 ft × 4 ft = 36 square ft (ft²).
The slant height given is not needed to calculate the area, but is an attribute of the parallelogram that might be useful in other contexts such as finding the length of the sides or in trigonometry.
Remember to label the figures clearly with their respective lengths and widths (or base and height for the parallelogram), and to mark the calculated area with the proper squared units.