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
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