The perimeter of square STUV is 32.98 units
Calculating perimeter
From the question, we are to calculate the perimeter of the given square.
To do this, we will determine one side length of the given square
The length of a side is the distance between the two end points
Using the points U and T
U(-7, 9) and T(1, 7)
Using the formula for the distance between two points
d = √(x₂ - x₁)² + (y₂-y₁)²
x₁ = -7
y₁ = 9
x₂ = 1
y₂ = 7
Thus,
The distance, d, between the points is
d = √(1 - -7)² + (7-9)²
d = √(1 +7)² + (-2)²
d = √(8)² + 4
d = √64+ 4
d = √68
d = 8.2462
This means the length of each side of the square is 8.2462 units
l = 8.2462 units
The perimeter, P, of a square is given by
P = 4l
P = 4 × 8.2462
P = 32.9848
P ≈ 32.98 units
Hence, the perimeter of square STUV is 32.98 units
Learn more on Calculating Perimeter here: https://brainly.com/question/12505467
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