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Question
a soccer field is a rectangle 90 meters wide and 120 meters long. the coach asks players to run the length, width, and then diagonally across the field from one corner to the other corner. what is the total distance ran by the players? draw a triangle to represent the situation, then solve.
Step1: Find the length of the diagonal
According to the Pythagorean theorem \(c = \sqrt{a^{2}+b^{2}}\), where \(a = 90\) and \(b=120\).
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Step2: Calculate the total distance
The total distance \(d=90 + 120+150\)
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\(360\) meters