A rectangle has length 9.3×102 cm and width 8.1×10 cm. What is the perimeter? write your answer in scientific notation
To find the perimeter of a rectangle, we use the formula:
Perimeter = 2(length + width)
Plugging in the values:
Perimeter = 2(9.3×10^2 cm + 8.1×10 cm)
Perimeter = 2(9.3×10^2 cm + 8.1×10 cm)
Perimeter = 2(9.3×10^2 cm + 81×10 cm) (Converting 8.1 to scientific notation)
Perimeter = 2(9.3×10^2 cm + 81×10^0 cm) (Expressing 10^0)
Perimeter = 2(93×10^1 cm + 81×10^0 cm) (Evaluating)
Perimeter = 2(930 cm + 81 cm) (Performing multiplication)
Perimeter = 2(1011 cm) (Adding)
Perimeter = 2022 cm (Final value)
Therefore, the perimeter of the rectangle is 2.022×10^3 cm.