Earth and Venus are considered sister planets because of their similar size and structure. The surface area of Venus is 460,230,000 km2 whereas Earth is 5.1006×108 km2. Does the comparison of the surface area of the two planets indicate they should be sister planets? A Yes, the surface area of Earth is only 0.9 times the surface area of Venus. B Yes, the surface area of Earth is only 1.1 times the surface area of Venus. C No, the surface area of Earth is 9 times the surface area of Venus. D No, the surface area of Earth is only 11 times the surface area of Venus.

Respuesta :

Answer:

B. Yes, the surface area of Earth is only 1.1 times the surface area of Venus.

Step-by-step explanation:

We have been given that the surface area of Venus is 460,230,000 km2 whereas Earth is [tex]5.1006\times 10^8 km^2[/tex].

We can see that area of Earth is given in scientific notation and area of Venus is given in standard form, so first of all let us convert area of Earth in standard form.

[tex]5.1006\times10^8\text{ km}^2=510060000\text{ km}^2[/tex]

To compare our given surface areas we can set an equation as:

[tex]\frac{\text{Surface area of Earth}}{\text{Surface area of Venus}}=\frac{510060000\text{ km}^2}{460,230,000 \text{ km}^2}[/tex]

[tex]\frac{\text{Surface area of Earth}}{\text{Surface area of Venus}}=1.10827195[/tex]

[tex]\frac{\text{Surface area of Earth}}{\text{Surface area of Venus}}*\text{Surface area of Venus}=1.10827195*\text{Surface area of Venus}[/tex]

[tex]\text{Surface area of Earth}=1.10827195*\text{Surface area of Venus}[/tex]

Upon rounding our answer to nearest tenth we will get,

[tex]\text{Surface area of Earth}=1.1*\text{Surface area of Venus}[/tex]

Therefore, the  surface area of Earth is only 1.1 times the surface area of Venus and option B is the correct choice.