A rectangle has length 9.3×10^2
cm and width 8.1×10
cm. Which of these statements are true?
A. The area of the rectangle is 7.533×10^4 cm^2
B. The perimeter of the rectangle is 1.71×10^3 cm
C. The length of the rectangle is approximately 1.15×10
times greater than the width
D. The length of the rectangle squared is approximately 8.65×10^5
A and C are true.
A. The area of the rectangle is calculated by multiplying the length and width together: (9.3×10^2 cm) x (8.1×10 cm) = 7.533×10^4 cm^2
C. The length of the rectangle (9.3×10^2 cm) is approximately 1.15×10 times greater than the width (8.1×10 cm).
B and D are not true.
B. The perimeter of a rectangle is calculated by adding up all four sides: 2(length) + 2(width). (2 * 9.3×10^2 cm) + (2 * 8.1×10 cm) = 2.34×10^4 cm + 1.62×10^2 cm = 2.34×10^4cm + 16.2 cm = 2.34×10^4 cm + 1.62×10^3 cm which is not equal to 1.71×10^3 cm.
D. The length of the rectangle squared is (9.3×10^2 cm)^2 = 8.649×10^5 cm^2, not approximately 8.65×10^5.