Answer:
Explanation:
The circumference of the circular table can be found using the formula:
circumference = π × diameter
The diameter of the circle is 8 feet, so:
circumference = π × 8 feet
circumference ≈ 25.1 feet (rounded to the nearest tenth)
Answer: Approximately 25.1 feet.
The perimeter of the rectangular table is the sum of the lengths of all four sides. Since the table is 5 feet wide and 9 feet long, the perimeter is:
perimeter = 2(5 feet) + 2(9 feet)
perimeter = 10 feet + 18 feet
perimeter = 28 feet
Answer: 28 feet.
To determine which table would seat more people, we need to compare their areas. The area of the rectangular table is:
area = length × width
area = 9 feet × 5 feet
area = 45 square feet
The area of the circular table is:
area = π × (radius)^2
area = π × (4 feet)^2
area ≈ 50.3 square feet (rounded to the nearest tenth)
Therefore, the circular table has a larger area and would seat more people.
Answer: The circular table would seat more people.
B.
The area of a parallelogram can be found using the formula:
area = base × height
We are given that the base is 12 cm and the area is 234 cm^2. Substituting these values into the formula, we get:
234 cm^2 = 12 cm × height
Solving for the height, we divide both sides by 12 cm:
height = 234 cm^2 / 12 cm
height ≈ 19.5 cm (rounded to the nearest tenth)
Answer: The height of the parallelogram is approximately 19.5 cm.