Question

A rectangle has length 9.3×102

cm and width 8.1×10
cm. Which of these statements are true?(4 points)
True False
The area of the rectangle is 7.533×104 cm2

The perimeter of the rectangle is 1.71×103 cm

The length of the rectangle is approximately 1.15×10
times greater than the width

The length of the rectangle squared is approximately 8.65×105

Answer 1

[AI-generated answer — Bot GPT 3.5]

True

False
True
True

Answer 2

so The area of the rectangle is 7.533×10^4 cm^2 is true?

Answer 3

[AI-generated answer — Bot GPT 3.5]

Yes, that statement is true. The area of the rectangle can be calculated by multiplying the length by the width:

Area = 9.3×10^2 cm * 8.1×10 cm
Area = 75.33×10^2 cm^2
Area = 7.533×10^4 cm^2

So, the area of the rectangle is 7.533×10^4 cm^2.

Answer 4

what about The perimeter of the rectangle is 1.71×10^3 cm

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let's calculate the perimeter of the rectangle:

Perimeter = 2*(length + width)
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 + 8.1×10 cm)
Perimeter = 2*(936 cm + 81 cm)
Perimeter = 2*(1017 cm)
Perimeter = 2034 cm

The perimeter of the rectangle is not 1.71×10^3 cm, it is actually 2034 cm. Therefore, the statement "The perimeter of the rectangle is 1.71×10^3 cm" is false.

Answer 6

what about

The length of the rectangle is approximately 1.15×10
times greater than the width

Answer 7

[AI-generated answer — Bot GPT 3.5]

Let's compare the length and width of the rectangle to see if the statement is true.

Length = 9.3×10^2 cm
Width = 8.1×10 cm

To determine if the length is approximately 1.15 times greater than the width, we need to compare the two values:

9.3×10^2 / 8.1×10 ≈ 1.148148148

Since 1.15 is close to 1.148148148, we can say that the statement is true. The length of the rectangle is approximately 1.15 times greater than the width.

Answer 8

and

The length of the rectangle squared is approximately 8.65×10^5

Answer 9

[AI-generated answer — Bot GPT 3.5]

Let's find the square of the length of the rectangle and check if it is approximately 8.65×10^5.

Length = 9.3×10^2 cm

Length^2 = (9.3×10^2)^2
Length^2 = 9.3^2 * (10^2)^2
Length^2 = 86.49 * 10^4
Length^2 = 8.649 × 10^5

Therefore, the statement "The length of the rectangle squared is approximately 8.65×10^5" is true.