A rectangle has length 9.3 × 10^2 cm and width 8.1 x 10 cm. Which of these
statements are true? (4 points)
The area of the rectangle is 7.533 x 10^4 cm^2? True or False
The perimeter of the rectangle is 1.71 × 10^3 cm True or False
The length of the rectangle is approximately 1.15 x 10 times greater than the width
The length of the rectangle squared is approximately 8.65 x 10^5 True or False
1. The area of the rectangle is 7.533 x 10^4 cm^2?
True.
Area = length x width
Area = 9.3 x 10^2 cm x 8.1 x 10 cm
Area = 7.533 x 10^4 cm^2
2. The perimeter of the rectangle is 1.71 × 10^3 cm
False.
Perimeter = 2(length + width)
Perimeter = 2(9.3 x 10^2 cm + 8.1 x 10 cm)
Perimeter = 34.2 x 10^2 cm = 3.42 x 10^3 cm
3. The length of the rectangle is approximately 1.15 x 10 times greater than the width
False.
The length is 9.3 x 10^2 cm and the width is 8.1 x 10 cm. The ratio of length to width is approximately 9.3 x 10^2 / 8.1 x 10 = 1.15 x 10, not 1.15 x 10 times greater.
4. The length of the rectangle squared is approximately 8.65 x 10^5
False.
Length squared = (9.3 x 10^2 cm)^2 = 8.649 x 10^5 cm^2, not 8.65 x 10^5.