Question

A company is designing a rectangular computer chip that is 5.13 × 10−7 meters long and 3.3 × 10−9 meters wide.

Part A: Determine the area of the computer chip. Show every step of your work. (3 points)

Part B: Write the area in scientific notation with the correct number of significant digits, and label with the appropriate units. (3 points)

Part C: Determine the perimeter of the computer chip. Show every step of your work. (3 points)

Part D: Write the perimeter in scientific notation with the correct number of significant digits, and label with the appropriate units. (3 points)

Answer 1

To determine the area and perimeter of the computer chip, we multiply the length and width for the area and apply the formula 2(length + width) for the perimeter. Then, we express both in scientific notation with the correct number of significant digits and appropriate units.

Step-by-step explanation:

To calculate the area of the rectangular computer chip, we multiply its length by its width:

1. Area = length × width
2. Area = (5.13 × 10-7 meters) × (3.3 × 10-9 meters)
3. Area = 16.929 × 10-16 square meters
4. Expressing the area in scientific notation: Area = 1.693 × 10-15 square meters (rounded to three significant figures)

For the perimeter, we use the formula P = 2(length + width):

1. Perimeter = 2(5.13 × 10-7 meters + 3.3 × 10-9 meters)
2. Perimeter = 2(5.163 × 10-7 meters)
3. Perimeter = 1.0326 × 10-6 meters
4. Expressing the perimeter in scientific notation: Perimeter = 1.033 × 10-6 meters (rounded to three significant figures)