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Wyoming is approximately a square-shaped state. If the area of Wyoming is about 97,818 square miles, you can find the length of each side.(4 points)

Put responses in the correct input to answer the question.

A. Find the length of one dimension of Wyoming by (Response area) . The length of one side is approximately (Response area)

B. Find the perimeter of Wyoming by (Response area) . The Perimeter of Wyoming is approximately (Response area)

2 answers

To solve the problems regarding the area and perimeter of Wyoming, we can use the following formulas:

A. Finding the length of one side of Wyoming

  1. Area formula: The area \( A \) of a square is given by the formula: \[ A = \text{side}^2 \] To find the length of one side, we take the square root of the area: \[ \text{side} = \sqrt{A} \] Substituting in the area of Wyoming: \[ \text{side} = \sqrt{97,818} \] Calculating this: \[ \text{side} \approx 312.77 \text{ miles} \]

B. Finding the perimeter of Wyoming

  1. Perimeter formula: The perimeter \( P \) of a square is given by the formula: \[ P = 4 \times \text{side} \] Substituting in our value for the side length: \[ P = 4 \times 312.77 \] Calculating this: \[ P \approx 1,251.08 \text{ miles} \]

Final Responses

  • A: The length of one side is approximately 312.77 miles.
  • B: The Perimeter of Wyoming is approximately 1,251.08 miles.
How do you find the perimeter?