Let's solve the problem step by step.
A. To find the length of one dimension of Wyoming, we need to find the square root of the area. The area is given as 97,818 square miles. So, we will take the square root of this area.
From the responses, the correct action is:
- "taking the square root of the area"
To find the approximate length of one side, we calculate:
\[ \text{Length of one side} \approx \sqrt{97,818} \approx 313 \text{ miles} \]
Thus, the answers for part A are:
- Response area: "taking the square root of the area"
- Response area: "313 miles"
B. To find the perimeter of Wyoming, use the formula for the perimeter of a square, which is \(4 \times \text{side length}\).
From the responses, the correct action is:
- "Multiply the side dimension times 4"
Now, using the approximate side length we found earlier (313 miles):
\[ \text{Perimeter} \approx 4 \times 313 \approx 1252 \text{ miles} \]
Thus, the answers for part B are:
- Response area: "Multiply the side dimension times 4"
- Response area: "1252 miles"
Final Responses: A. Find the length of one dimension of Wyoming by taking the square root of the area. The length of one side is approximately 313 miles.
B. Find the perimeter of Wyoming by Multiply the side dimension times 4. The Perimeter of Wyoming is approximately 1252 miles.