Rosie is building two dog houses, one for each of her dogs. One dog is bigger than the other, so she decides to make one house 1/2

Question

the size of the other. How much smaller will the surface area of the small house be compared to that of the big house? Write your response as a fraction.(1 point)
The surface area of the small house will be
the size of the big house.

Answer 1

Let the surface area of the big house be \( S \). According to the information provided, the surface area of the small house is \( \frac{1}{2} S \) (since it is half the size of the big house).

To find out how much smaller the surface area of the small house is compared to that of the big house, we subtract the surface area of the small house from that of the big house:

\[ S - \frac{1}{2} S = \frac{1}{2} S \]

Thus, the surface area of the small house will be \( \frac{1}{2} \) the size of the big house.

In conclusion, the surface area of the small house will be \(\frac{1}{2}\) the size of the big house.

Answer 2

wrong

Answer 3

I apologize for the misunderstanding in my previous response. Let's clarify the question correctly:

1. Let \( S \) be the surface area of the large house.
2. The surface area of the small house is \( \frac{1}{2} S \).

To determine how much smaller the surface area of the small house is compared to that of the big house, we find the difference:

\[ S - \frac{1}{2}S = \frac{1}{2}S \]

Therefore, the small house is smaller by \( \frac{1}{2}S \), which is half the size of the big house's surface area.

Expressing this as a fraction of the big house's surface area, the surface area of the small house is \(\frac{1}{2}\) the size of the big house, meaning:

The surface area of the small house will be \( \frac{1}{2} \) of the big house.

Thank you for your patience, and let me know if you need further clarification!