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Sagot :

a. The distance around the park is 180 yards

b. QM = 18 yards

c. It takes 49 minutes  to travel the entire distance

How to determine the values

a. The distance around the yard is given as;

PQ + QR + PQ

Where;

  • PQ = 50 -10 = 40 yards
  • QR = 80 - 10 = 70 yards
  • PR  = 80 - 10 = 70 yards

Total = 40 + 70 + 70 = 180 yards

b. To determine QM, we use the Pythagorean theorem;

PQ² = QM² + 1/2 PR²

40² = QM² + (35. 5)²

1600 = QM² + 1260. 25

Make 'QM' the subject

QM² = 1600 - 1260. 25

QM = √339. 75

QM = 18 yards

c. Average speed = 150 yards/ per minute

Total distance = 180 yards

Time = Average speed/ distance

Time = 150/ 180

Time = 0. 8 3 × 60

Time = 49 minutes

Thus, the distance around the park is 180 yards

Learn more about distance here:

https://brainly.com/question/7243416

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