Question
Lee's garden and Pavia's garden are both square-shaped. Lee's garden has an area of 100 square yards, which is 25 times the area of Pavia's garden. How long is each side of Pavia's garden?
1 square yard
2 square yards
4 square yards
8 square yards
1 square yard
2 square yards
4 square yards
8 square yards
Answers
GPT-4o mini
To find the area of Pavia's garden, we start with the information given about Lee's garden.
Lee's garden has an area of 100 square yards, and it is said to be 25 times the area of Pavia's garden. Therefore, we can calculate the area of Pavia's garden as follows:
\[
\text{Area of Pavia's garden} = \frac{\text{Area of Lee's garden}}{25}
\]
\[
\text{Area of Pavia's garden} = \frac{100 \text{ square yards}}{25} = 4 \text{ square yards}
\]
Now, since Pavia's garden is also square-shaped, we can find the length of each side of Pavia's garden by taking the square root of its area.
\[
\text{Length of each side of Pavia's garden} = \sqrt{\text{Area of Pavia's garden}} = \sqrt{4} = 2 \text{ yards}
\]
Therefore, the length of each side of Pavia's garden is **2 yards**.
Lee's garden has an area of 100 square yards, and it is said to be 25 times the area of Pavia's garden. Therefore, we can calculate the area of Pavia's garden as follows:
\[
\text{Area of Pavia's garden} = \frac{\text{Area of Lee's garden}}{25}
\]
\[
\text{Area of Pavia's garden} = \frac{100 \text{ square yards}}{25} = 4 \text{ square yards}
\]
Now, since Pavia's garden is also square-shaped, we can find the length of each side of Pavia's garden by taking the square root of its area.
\[
\text{Length of each side of Pavia's garden} = \sqrt{\text{Area of Pavia's garden}} = \sqrt{4} = 2 \text{ yards}
\]
Therefore, the length of each side of Pavia's garden is **2 yards**.