A rectangle has length 9.3×10^2 cm and width 8.1×10 cm. Which of these statements are true?
The area of the rectangle is 7.533×10^4 cm^2
The perimeter of the rectangle is 1.71×10^3 cm
The length of the rectangle is approximately 1.15×10 times greater than the width
The length of the rectangle squared is approximately 8.65×10^5
The area of the rectangle is calculated by multiplying the length by the width:
Area = (9.3×10^2 cm) * (8.1×10 cm) = 75.33 × 10^4 cm^2
So, the statement "The area of the rectangle is 7.533×10^4 cm^2" is true.
The perimeter of the rectangle is calculated by adding up all the sides:
Perimeter = 2(9.3×10^2 cm) + 2(8.1×10 cm) = 1.71×10^3 cm
So, the statement "The perimeter of the rectangle is 1.71×10^3 cm" is true.
The length of the rectangle squared is:
(9.3×10^2 cm)^2 = (9.3×10^2)(9.3×10^2) = 8.649 × 10^5
So, the statement "The length of the rectangle squared is approximately 8.65×10^5" is true.
However, the statement "The length of the rectangle is approximately 1.15×10 times greater than the width" is not true. The length is 9.3×10^2 cm and the width is 8.1×10 cm. To find out how many times greater the length is than the width, divide the length by the width:
Length/Width = (9.3×10^2 cm) / (8.1×10 cm) = 9.3 / 8.1 = 1.148 = 1.15
So, the statement is true.