Question
The length of one side of a square is StartRoot 15 EndRoot inches.
What is the ,begin emphasis,area,end emphasis, of the square?
Answer options with 5 options
A.
StartRoot 60 EndRoot inches squared
B.
4 StartRoot 15 EndRoot inches squared
C.
15 inches squared
D.
60 inches squared
E.
225 inches squared
What is the ,begin emphasis,area,end emphasis, of the square?
Answer options with 5 options
A.
StartRoot 60 EndRoot inches squared
B.
4 StartRoot 15 EndRoot inches squared
C.
15 inches squared
D.
60 inches squared
E.
225 inches squared
Answers
GPT-4o mini
To find the area of a square, you use the formula:
\[
\text{Area} = \text{side length} \times \text{side length} = (\text{side length})^2
\]
In this case, the length of one side of the square is \(\sqrt{15}\) inches. Therefore, the area can be calculated as follows:
\[
\text{Area} = (\sqrt{15})^2 = 15 \text{ inches squared}
\]
Now, looking at the answer options provided:
A. \(\sqrt{60}\) inches squared
B. \(4\sqrt{15}\) inches squared
C. \(15\) inches squared
D. \(60\) inches squared
E. \(225\) inches squared
The correct answer is:
**C. \(15\) inches squared**.
\[
\text{Area} = \text{side length} \times \text{side length} = (\text{side length})^2
\]
In this case, the length of one side of the square is \(\sqrt{15}\) inches. Therefore, the area can be calculated as follows:
\[
\text{Area} = (\sqrt{15})^2 = 15 \text{ inches squared}
\]
Now, looking at the answer options provided:
A. \(\sqrt{60}\) inches squared
B. \(4\sqrt{15}\) inches squared
C. \(15\) inches squared
D. \(60\) inches squared
E. \(225\) inches squared
The correct answer is:
**C. \(15\) inches squared**.