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.

Find the length of one dimension of Wyoming by ____________
The length of one side is approximately ____________
Find the perimeter of Wyoming by ___________. The perimeter of Wyoming is approximately ____________.

391,272 miles
Multiply the side dimension times 4
Taking the square root of the area
Multiply the area times itself
Multiply the side dimension times itself
Squaring the area and then dividing by 4
1252 miles
Dividing the area by 2
313 miles
626 miles
Multiply the area times 4
24,455 miles
Dividing the area by 4

1 answer

To find the length of one dimension of Wyoming, we will follow these steps:

  1. Find the length of one side: Since the area of a square is calculated as \( \text{side}^2 \), we can find the length of one side by taking the square root of the area.

    \[ \text{Length of one side} = \sqrt{97,818} \approx 313 \text{ miles} \]

  2. Find the perimeter of Wyoming: The perimeter (P) of a square is calculated as \( P = 4 \times \text{side} \).

    \[ \text{Perimeter} = 4 \times 313 \approx 1252 \text{ miles} \]

Therefore, the completed statements are:

  • 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.
  • Find the perimeter of Wyoming by multiplying the side dimension times 4.
  • The perimeter of Wyoming is approximately 1252 miles.