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Answer :
Final answer:
The perimeter of square WXYZ, we use the distance formula to find the length of one side and multiply it by 4. The length of one side is √90, so the perimeter is 4√90 .
Explanation:
To determine the perimeter of square WXYZ, we need to find the length of one side and multiply it by 4. The distance between points Y (0, -3) and Z (9, 0) can be found using the distance formula, which is the square root of the difference between the x-coordinates squared plus the difference between the y-coordinates squared.
The difference in the x-coordinates is 9 - 0 = 9, and the difference in the y-coordinates is 0 - (-3) = 3. Using the distance formula, we have √((9 - 0)² + (3)²) = √(81 + 9) = √90
Therefore, the length of one side of square WXYZ is √(90). The perimeter of a square is found by multiplying the length of one side by 4, so the perimeter of square WXYZ is √(90) * 4 = 4√90
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