Answer :

Using the distance formula, the distance around the park = 190.6 units.

How to Find Distance Using the distance Formula?

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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