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Using the distance formula, the distance around the park = 190.6 units.
Distance formula is given as, [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
To find the distance around the park, find the length of PQ, QR, and PR:
Use the distance formula to find the distance between points P and R:
P(10, 50)
R(80, 10)
PR = √[(80−10)² + (10−50)²]
PR = √[(70)² + (−40)²]
PR = √(4900 + 1600)
PR = √6500
PR ≈ 80.6 units
PQ = |50 - 10| = 40 units
QR = |80 - 10| = 70 units
Thus, the distance around the park = PQ + QR + PR = 40 + 70 + 80.6
Thus, the distance around the park = 190.6 units.
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